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February 5, 2016

# Search: expressing as odd & even functions

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expressing as odd & even functions
Express P(x) = x^5 + 6 x^3 - x^2 - 2x + 5 as the sum of an odd function and even function. Podd(x)=x^5 +6x^3- 2x Peven(x)= -x^2 + 5
January 30, 2007 by Jen

Did I get this practice question right? 1. Consider the following functions: f(x)=cos(x^3-x) h(x)=|x-3|^3 g(x)=1n(|x|+3) s(x)=sin^3(x) Which of the following is true? (Points : 1) f is even, h and s are odd. ***f and g are even, s is odd. h and s are odd, g is even. s is odd, ...
October 2, 2013 by Samantha

odd and even functions
Using f is odd if f(-x) = -f(x) or even if f(-x) = f(x) for all real x, how do I 1)show that a polynomial P(x) that contains only odd powers of x is an odd function 2)show that if a polynomial P(x) contains both odd and even powders of x, then it is neither an odd nor an even ...
January 30, 2007 by Jen

Consider the following functions: f(x)=sin(x^4-x^2) h(x)=(|x|-3)^3 g(x)=1n(|x|)+3 s(x)=sin^3(x) Which of the following is true? h and g are even, f and s are odd. f is even, h and s are odd. h and s are even, f is odd. ***f and h are even, s is odd. f, h, and s are odd.
October 2, 2013 by Samantha

math
I know It's probably an easy question but I don't know remember how to do it. Show the work to determine if the relation is even, odd, or neither. a ) f(x) = 2x^2 - 7 b) f(x) = -4x^3 - 2x c) f(x) = 4x^2 - 4x + 4 If f(-x) = f(x), for any x, the function is even. If f(-x) = -f(x...
August 20, 2007 by manny

Math
If f and g are functions defined for all real numbers, and f is an odd function, then f ∘ g is also an odd function. Justify. I wrote false cause for example if f = x^3(odd) and g=x^2(even) the fog is even.
June 10, 2015 by Alex

Algerbra
f m and p are positive integers and (m + p) x m is even, which of the following must be true? A. If m is odd, then p is odd. B. If m is odd, then p is even. C. If m is even, then p is even. D. If m is even, then p is odd. I choose C is that correct
December 17, 2015 by Tonya

Symmetry
For these functions, determine which ones are NEITHER even nor odd. A) f(x)=3x^2+|x| B) f(x)= 3x^3+x^2+x-4 C) f(x)= 1/2x D) f(x)= 2x^5-x^3+2x E) f(x)= 4x+1/x F) F(x)= 2x^4+x^2-x+2 Enter the letter of each function separated with a comma. How can you tell which ones are even or...
May 1, 2012 by Bobb

Math
Let f and g be two odd functions. Prove that: a) f + g is an odd function b) g of f is an odd function I am not even sure where to start, any help that can be provided would be appreciated!
September 13, 2007 by manny

Okay, so I think these are right, but I would appreciate if someone could check them and tell me if something is wrong and what the right answer is. I'd also appreciate an explanation if possible. :)Thank you! 7. Given that f(x)={x^3 if x ≥ 0 {x if x < 0 which of the ...
October 2, 2013 by Samantha

discrete math
prove that if n is an integer and 3n+2 is even, then n is even using a)a proof by contraposition b)a proof by contradiction I'll try part b, you'll have to refresh me on what contraposition means here. Here is the claim we start with If n is an integer and 3n+2 is even, then n...
September 27, 2006 by audryana

Algebra
Let f(x) = 1 – 3x^2. Which of the following is true? Give a brief explanation. A. f is an odd function B. f is an even function C. f is neither even nor odd D. f is both even and odd I would say B because an even function is one where f(x) = f (-x), Is am correct? Is it even?
June 28, 2009 by Jacinta

Math - Functions
I know the following equation is definitely NOT EVEN, BUT I DO NOT KNOW WHY IT'S NOT ODD!. . . PLEASE. . .EXPLAIN THOROUGHLY!. . . y = 2(x - 1)^2 + 3 f(-x) = 2(-x - 1)^2 + 3 f(-x) does not equal f(x), therefore, not even. . . -f(x) = -[2(x + 1)^2 + 3] -f(x) = -2(-x - 1)^2 - 3...
January 14, 2008 by Anonymous

Statistics
a roulette wheel has 40 slots evenly divided between red (even) and green (odd) slots totaling 38 and a "0" and a "00". what is the probability of the ball landing in an: A)even number < 10 B) other than an even or odd number C) odd number > 15 D) even number greater ...
November 21, 2010 by kristina

Algebra
Confused Please Help! Thanks! Let f(x) = 1 – 3x^2. Which of the following is true? Give a brief explanation. A. f is an odd function B. f is an even function C. f is neither odd nor even D. f is both odd and even
June 24, 2009 by Laurie

discrete math
Prove by contradiction that for any even integer a and any odd integer b, 4 does not divide (a^2 + 2b^2). Proposition: That 4k (k is any integer) = a^2 +2b^2, and a is even, and b is odd. But 4k is even (product of any integer and 4), so a^2 must be even, as 2b^2 is even. ...
March 7, 2007 by romulo

Algebra
Let f(x) = 1 – 3x^2. Which of the following is true? Please give us a brief explanation. A. f is an odd function. B. f is an even function. C. f is neither odd nor even. D. f is both odd and even.
June 24, 2009 by Jeanna

Algebra Functions
I dont understand how you determine whether a function is even, odd,or neither. Here are my problems: Determine whether the given function is even, odd, or neither. 8. f(x)=x^3-x^2 This is how I did it. f(-x)=(-x^3)- (-x^2)= (-x)(-x)(-x) - (-x)(-x) = (-x^3) -(x^2)- I got that ...
September 5, 2007 by Soly

Algebra
Let f(x) = 1 – 3x^2. Which of the following is true? Give a brief explanation. A. f is an odd function B. f is an even function c. f is neither odd nor even Cf is both odd and even
June 24, 2009 by Tammie

Math
Can anyone tell me if these functions are odd, even, or neither. Also, what is the domain, range, x-intercept, and y-intercept of these functions? 1. f(x) = x^2 - 3x + 6 2. f(x) = cubicroot(x)
August 19, 2008 by Anthony

Math
tan(-120)= sqrt 3 OR - sqrt 3 (Helper stated that it was sqrt 3) But, I'm just confused over this part: for even vs. odd functions it saids that tan(-angle) = - tan(angle) so the even vs. odd doesn't matter since tan is positive in the QIII?
March 1, 2011 by Amy

need help
the sum of two odd #'s is 1.even 2.odd 3.sometimes odd 4.even most of the time
June 5, 2012 by janika

math
why is the product of two odd functions even?
October 15, 2007 by lani

Math
Is f(x)= -x/x^2-1 odd, even or neither of the two functions?
December 15, 2013 by Jessy

Algebra2
Helpp? Graphs of functions !! I need to determine if these are odd or even? 1. f(x)=x^5-x 2. f(x)=5 3.f(x)=x^4+2x^3
August 29, 2012 by Unknown

Functions
Determine algebraically whether the function f(x)=2x^42x^2 2x+1 is odd, even or neither.
May 13, 2015 by Rob

Calculus
Evaluate the definite integral using the properties of even and odd functions. S 2 (1/2 t^4+3)dt -2

Math
John stated that when you add an even and an odd integer the answer will be odd. Use these numbers to answer the questions: –13, –8, 16, 23, –7 Write a rule for adding an even and an odd integer.
January 19, 2016 by Anonymous

Math (precalculus)
I have a question about the symmetry of graphs, but maybe it's more of a simple factoring question... Why is f(x)=x+(1/x) odd, while h(x)=x-x^2 is neither even nor odd? I understand that f(-x)=-x-1/x=-(x+1/x)=-f(x) is odd because f(x)=f(-x). Then for h(-x)=-x-x^2...why can't ...
October 26, 2008 by Lucy

pre-Calculus
Evaluate the definite integral using the properties of even and odd functions. S 2 (1/2 t^4+3)dt -2
November 10, 2015 by Calculus Help

math
When y = 3, which of the following is FALSE? A. y is prime and y is odd B. y is odd or y is even C. y is not prime and y is odd D. y is odd and 2y is even
December 11, 2012 by Buster

Algebra2
Check Please? Determine if the given function is even, odd or neither. 1. f(x) = 3x^4 - 2x^2 =Even. 2. f(x) = x^3 + x = Odd.
November 29, 2012 by Pam

math
Can 2 odd numbers add to an even or 1 odd and 1 even to an even?
September 3, 2008 by cam

Math
If a and b are positive odd integers, then prove that one of (a+b)/2 and (a-b)/2 are even or odd number. I mean in the above numbers one is odd and one is an even number.
April 6, 2013 by Steve

Algebra
Is a function with a fraction (1/4) an even or an odd function? Or can fractions be neither even or odd? I have to declare one or the other, so I'm not sure what to say.
November 9, 2009 by Erin

Calculus
Determine if function is even, odd, or neither... f(x) = secx tanx I understand how to find if its even or odd, but the sec and tan, I dont understand. Can someone help?
September 6, 2009 by MW

pre cal
Determine algebraically whether the function is even, odd, or neither even nor odd. f as a function of x is equal to 14 times the cube root of x
June 23, 2014 by Jorgeeee

Geometry
Consider the experiment of rolling a single die what is the probability of rolling an odd number? I came up with 0.5,even odds as there are 3 odd and 3 even numbers so the prob. is 0.5 Did I do this correct.
September 8, 2009 by Emory

math
Determine whether the functions are even, odd, or neither. (a) f(x) = x²/√x²+ 1 (b) g(x) = x^3 - √ x- 7
April 2, 2008 by Zach

Pre-Cal
What is the domain, range, zeros, symmetry, and is it even/odd of these functions? (how can you tell, i don't remember how you get all these, refresher please) y= 1/x y=[x] y=sq rt. of x^2 -4 y=sin x y=cos x y=tan x
August 23, 2010 by Amanda

math
what will i answer if the question is " identify the symmetry" is it even/odd FUNCTION or Even/odd SYMMETRY?
September 15, 2011 by grace

math
One of the following functions is neither odd nor even. Which one? x^5 + 3x 6x^2 – |x^2| + 3 x^9 + 3x^7 + 6x (my answer)x^2 + 3x + 3 + |x –3| This is really tricky pre-calc graphing problem. Thanks for the help!
October 1, 2012 by Anonymous

Did I get these practice questions right? 1. Suppose that f is an even function whose domain is the set of all real numbers. Then which of the following can we claim to be true? ***The function f has an inverse f –1 that is even. The function f has an inverse f –1, but we can'...
October 2, 2013 by Samantha

Math Proof
Prove that square root of 12 is irrational. **I don't know if I did this correctly PF: By contrapositive, assume sqrt(12) is rational. Then there exist an a,b as integers such that a/b is written in the lowest terms, and sqrt(12)=a/b. Then by squaring both sides, 12=a^2/b^2. ...
September 8, 2014 by Ashley

Algebra 2
Determine whether the function is even, odd, or neither. f(x)=-4x²+5x Its odd right?
July 4, 2011 by Reanna

math
corrected ? TWO ODDS =ODD? OR 1 ODD+1EVEN=EVEN?
September 3, 2008 by cam

Math
is 1 really an odd number i think its was neither odd or even
September 3, 2008 by carle

college algebra
Let f denote an odd function and g an odd function. Decide whether the function h(x)=g(x) f(x) is even or odd.
December 7, 2007 by rodrigo

Pre calc functions
Determine whether the function g(x)=x^4-7x^2 is an even, odd, or neither function. Also determine the symmetry of its graph
May 11, 2015 by TJ

math
why 13 is odd number. what is defination of odd and even numbers
October 19, 2011 by ashley

Algebra
Determine if the function is even, odd or neither. f(x)=2x^5+2x^3 f^-1x=2(-x)^5+2(-x)^3 f^-1x=-2x^5+-2x^3 f^-1x=-2x^5-2x^3 f(x)=2x^5+2x^3 f^-1x=2(-x)^5+2(-x)^3 f^-1x=-2x^5+2(-x)^3 f^-1x=(-2x^5)+(-2x^3) f^-1x=-2x^5-2x^3 Not even. This function is odd.
March 28, 2008 by John

Math
Auppose f is even but g is an arbitrary function (possibly neither even nor odd). (a) Is f o g still even? Show why or why not. (b) Is g o f even? Show why or why not.
October 3, 2012 by xavier

precalc
The question is: is (root(x2+2))/x=f(x) even or odd? I got that it was odd because f(-x)=-f(x) but on the graph it does not look like it is symmetric to the origin what did i do wrong?
November 2, 2008 by Alex

Math
Determine whether the function x^3+x^2-1 is even, odd or neither. I thought it was odd because it has one negative sign is this correct
February 22, 2009 by lt

math
If the first of 1000 consecutive whole numbers is odd, their sum must be a) even b) odd c)prime d) negative Help?
April 11, 2013 by kate

~*~Algebra!*~
How do you use possible symmetry to determine whether the graph is the graph of an even function, an odd function, of a function that is neither even or odd?
September 1, 2007 by Nickie

Math
make a conjecture for the following show work the sum of an even and odd number. - the product of two odd numbers.
September 15, 2011 by Geometry Help!!!!

algebra
The function f is even and the function g is odd. Determine whether the function h(x)= f(x)/g(x) is even or, odd or neither.
December 7, 2007 by danny

Math
For nth root functions, I know that if "n" is even, then the domain must be equal or greater than zero. If "n" is odd, then domain will be all set of real numbers. But how do I determine the range of an n-th root function?
September 29, 2015 by ela

math
Assuming that the square root of 2 is rational and is = to an even number divided by an odd number.2 multiplied by the odd number squared is= to the even number squared
January 20, 2011 by Lebogang

Consider the statement: If two whole numbers are even, then their sum is odd. What assumption should be made to prove the statement indirectly? A- The numbers are equal. B- The numbers are not equal. C- Their sum is not odd. D- Their difference is even. My choice is C.
October 7, 2014 by Skye

maths
by taking three different values on n, show that a cube of an even natural number n, is always even end cube of an odd natural number n, is always odd.

Determine whether the function f(x)[x+1] is odd, even, or neither. Answer: neither odd nor even 2)Find the least integral upper bound of the zeros of the function f(x)=x^3-x^2+1. Answer: upper bound, 1
August 23, 2008 by Lucy

MATH
invested 2000 gains 0.2 every odd numbered month gains 0.15 every even numbered month write function for n months? i've tried solving this with a formula, but every formula i come up with is wrong. Could someone tell me how to solve this and plug in the right numbers into a ...
September 5, 2011 by Amy

math
You roll two (6-sided) number cubes, a red one and a white one. Find each probability: a. P (5,2) b. P (5, odd #) c. P (3,3) d. P (even #, odd #) e. P (4,4) f. P (less than five, 6)
April 17, 2012 by Anonymous

Pre-calculus
Determine whether the function f(x)[x+1] is odd, even, or neither. Answer: neither odd nor even 2)Find the least integral upper bound of the zeros of the function f(x)=x^3-x^2+1. Answer: upper bound, 1
August 25, 2008 by Lucy

pre-calculus
Determine whether the function f(x)[x+1] is odd, even, or neither. Answer: neither odd nor even 2)Find the least integral upper bound of the zeros of the function f(x)=x^3-x^2+1. Answer: upper bound, 1
August 27, 2008 by lucy

statistics
Jody checked the temperature 12 times on Monday, and the last digit of the temperature was odd six times more than it was even. On Tuesday, she checked it 18 times and the last digit was odd eight times more than it was even. Determine which series is closer to the 50/50 ratio...
April 17, 2015 by HELP

math
Jody checked the temperature 12 times on Monday, and the last digit of the temperature was odd six times more than it was even. On Tuesday, she checked it 18 times and the last digit was odd eight times more than it was even. Determine which series is closer to the 50/50 ratio...
April 17, 2015 by SUE

Satistics
Jody checked the temperature 12 times on Monday, and the last digit of the temperature was odd six times more than it was even. On Tuesday, she checked it 18 times and the last digit was odd eight times more than it was even. Determine which series is closer to the 50/50 ratio...
September 15, 2015 by Lissa

CHEMISTRY
Round this to three sig figs. 0.03335 Is it 0.0334? Is the rule: odd number goes up and even number stays the same? 3 is odd and is next to five...
October 26, 2013 by Anonymous

Math I
How do you find whether a function is even or odd? Identify the odd function. A)f(x) = 5 B)f(x) = 8x C)f(x) = |x3| D)f(x) = x2 + 7
February 8, 2010 by Cline

keybording and word processing
you would use words for numbers when? a. signifying an even house number, b. using "A.M." or "P.M." c. expressing an even amount of dollars and cents, d. beginning a sentence with a number
June 9, 2008 by Raksha

keybording and word processing
15. you would use words for numbers when? a. signifying an even house number, b. using "A.M." or "P.M." c. expressing an even amount of dollars and cents, d. beginning a sentence with a number
June 9, 2008 by Raksha

Algebra2
Determine if the given function is even, odd or neither. 1. f(x)= 3x^4 -2x^2 Even? 2. f(x)= x^3+x
September 17, 2012 by BillyBob

Geometry
Working on conjectures. The question is Conjecure: The product of any two odd numbers is _____? It shows several examples of odd numbers x odd numbers and the products are all odd. So I think the right answer is "odd numbers" but is there some formula I should be writing down?
August 22, 2007 by Jordan

algebra
A number cube is rolled three times what is the probability of the sequence even,even,odd?

Probability
Consider three random variables X, Y, and Z, associated with the same experiment. The random variable X is geometric with parameter p∈(0,1). If X is even, then Y and Z are equal to zero. If X is odd, (Y,Z) is uniformly distributed on the set S={(0,0),(0,2),(2,0),(2,2)}. ...
March 7, 2015 by qwerty

Calculus
This is a definite integral question. Evaluate the following integral: (0)S(a)((x)((a^2 - x^2)^(1/2)))dx with a being a constant and the (0) being at the bottom of the integral notation and (a) at the top. S is the integral notation. I firstly checked whether the function was ...
November 15, 2014 by Joshua

math/making dot arrays
my son is in fifth grade and he is making dot arrays he said that the even numbers are called factors but isn't sure what the odd numbers are called, anyone know? Factors are numbers that you multiply together to get another number. These can even or odd.
August 30, 2006 by Jami

Precalc
Identify all of the trig functions that fit each description: 1. Has a amplitude of 1 2. Is discontinuous at odd multiples of π/2 3. Is continuous at odd multiples of π/2 4. Has sin x as a denominator value 5. Is completely bounded 6. Has the exxact same value at &#...
September 22, 2015 by Anon

Geometry
CounterExamples and Inductive Reasoning and Conjectures? Make a Conjecture for Each Scenario. Show your Work - the sum of the first 100 positive even numbers, - the sum of an even and odd number. - the product of two odd numbers. FInd One CounterExample to show that the ...
September 15, 2011 by Geometry Help!!!!

algebra 1
PLEASE HELP! NO ONE ANSWERED THE QUESTION three times an odd integer is eleven less than four times the next greater even integer. What is the odd integer?
January 26, 2015 by carlos

algebra
three times an odd integer is eleven less than four times the next greater even integer. What is the odd integer?
January 25, 2015 by carlos

MATH
Which function Is even? a. f(x) = √x - 3 b.f(x) = 3√x c. f(x) = |x| + 4 I keep getting neither even or odd. HELP PLEASE...
June 27, 2010 by Taylor

math probability
this is a probability question... Suppose you are asked to choose a whole number between 1 and 13 inclusive. (a) what is the probability that it is odd?...7/13 (b) What is the probability that it is even?...6/13 (c) what is the probability that it is a multiple of 3?...4/13 (d...
December 18, 2008 by joe

Maths
The first odd number can be expressed as 1 = 1squared - 0squared. The second odd number can be expressed as 3 = 2squared - 1squared. The third odd number can be expressed as 5 = 3squared - 2squeared. a) Express the fourth odd number in this form. (Am I right in saying 7 = ...
November 20, 2008 by Stephanie

math
consider the functions f(x)=x^3-2 and g(x)=3 sqrt x+2: a. find f(g(x)) b. find g(f(x)) c. determine whether the functions f and g are inverse of each other. I have no clue where to even begin!
March 23, 2013 by marie

language arts
Be still, sad heart! and cease repining; Behind the clouds is the sun still shinning; thy fate is the common fate of all, into each life some rain must fall some days must be dark and dreary 1. from the context, what do you conclude is the probable meaning of repining in the ...
March 10, 2015 by ben

algebra
I have been working this one for awhile and have become more confused. Please assist. Problem: Find two consecutive odd integers such that 5 times the first interger is 12 more than 3 times the second. The key thing is to realize that odd numbers, just like the even numbers, ...
April 21, 2007 by ken

Our teacher said that for trigonometry, even degree means that if we flip the graph, it is would look exactly the same. Then why is that sec is even function while csc is odd function??
September 6, 2010 by prethy

Abnormal Child Psychology
Which of the following is true regarding the relationship between ODD and CD? A. most children who display ODD go to to later develop CD. B. There's no relationship between ODD and CD. C. CD is almost always preceded by ODD. D. ODD is almost always preceded by CD. I say A if I...
September 3, 2010 by Anonymous

spin of a electron
I have to know the spin of a electron and what I have in my notes has me confused. 1. If the # of neutrons and # protons of a element are odd the element has a whole spin # (1, 2, 3) examples given: 2 H 11 B 14 N 17 O 33 S 35 Cl (I think those are mass numbers not atomic #'s) ...
December 8, 2007 by ~christina~

Calc
Find the areas of the regions bounded by the lines and curves by expressing x as a function of y and integrating with respect to y. x = (y-1)² - 1, x = (y-1)² + 1 from y=0 to y=2. I graphed the two functions and the do not intersect? Does it matter? Or do I still find the area...
October 10, 2011 by Erica

Math
You start with 101 and want to get down to 0 by subtracting 2. How many times will you subtract 2 from 101? 101 is an odd number and 0 is even; you can't get from an odd to an even by subtracting even numbers. If you subtract 50*2, or 100, you'll get to 1 and the next step ...
October 10, 2006 by Sam

Language Arts
Be still, sad heart! and cease repining Behind the clouds id the sun still shining Thy fate is the common fate of all Into each life some rain must fall Some days must be dark and dreary -From 'The Rainy Day' by Henry Wadsworth Longfellow 1. from the context, what do you ...
March 12, 2015 by Hailee

Math
Show work to determine if the relation is even, odd, or neither. f(|x|) = |x|- x^2 + 1 I thought it was even because the absolute value and squared will cancel the negatives, but I don't know how to show this through math..
July 12, 2013 by Anonymous

Calculus
solve this equation on the given interval expressing the solution for x in terms of inverse trigonometric functions. 6(cosx)^2-cosx-5=0 on (pie/2, pie)
October 10, 2011 by Josh

algebra 2
consecutive odd integer problem find two odd integers the sum of whose squares is 130. (sq)=squared let x= 1st odd int let x+2=2nd odd int (2x+2)(2x+2)=130 4x(sq) + 4x+ 4x +4=130 4x(sq) + 8x -126= 0 2(2x(sq)+4x-63)=0 My question: WHAT ARE THE TWO DARN #s!!!
December 3, 2007 by harry

math
John stated that when you add an even and an odd integer the answer will be odd. Use these numbers to answer the questions: –13, –8, 16, 23, –7 Is John’s statement always true, sometimes true, or always false? Write two equations to support your answer.
January 19, 2016 by Anonymous

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