# Graphs of polynomial functions

5,851 results

Math
Factor the polynomial as the product of factors that are irreducible over the real numbers. Then write the polynomial in completely factored form involving complex nonreal or imaginary numbers. x^4 + 20x^2 -44=0

pre cal
Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form. 3, -13, and 5 + 4i Urgently need help

Science
What are the types of position-time graphs? I really do not know the types. I have a problem that has a part that wants me to tell which graph the problem uses. Also, they didn't really talk about the types of graphs in the lesson. Please help, and will really appreciate it.:)

math
For every positive integer n, consider all monic polynomials f(x) with integer coefficients, such that for some real number a x(f(x+a)−f(x))=nf(x) Find the largest possible number of such polynomials f(x) for a fixed n<1000. Details and assumptions A polynomial is ...

Domains of Functions
I don't understand how to do this problem, can you please help me? Given the functions f and g, determine the domain of f+g. 4. f(x)= 2x/(x-3) g(x)=3/(x+6)

Math
use the functions f(x)=x+4 and g(x)=2x-5 to find the specified functions. (g X f)^-1 Would the answer be x+1 over 2?

Algebra 2
for the functions f(x) = 5x +50 and g(x) = 1/5x -10 evaluate both f(g(x)) and g(f(x)). Are these functions inverses? do you put them into each other?

science
what functions do individual cells perform that are similar to the functions of our bodies?

science
what functions do individual cells perform that are similar to the functions of our bodies?

using rational functions solve (x+5)/(x-3)= (2x+7)/(x) thank you

Using rational functions solve 7+ (1)/x = 1/(x-2) thank you

what functions do individual cells perform that are similar to the functions of our bodies?

calculus
for trigonometric functions and rhythmic functions questions, how do you know when to use either f(t)=A sin (w(t-a)) or f(t) = A cos ( w(t-a)) ?

math
The graph of a second-order polynomial is shown below, and the intercepts with the axes are marked. Explain how you can use the graph to write the polynomial as a product of linear factors (x-a)(x-b). Be sure to state the values of a and b.

Math
Given a polynomial and one of its factors, find the remaining factors of the polynomial. Some of the factors may not be binomials. 169x^3-1690x^2-9x+90; x-10

Beginning with the function f(x) = (0.8)x, state what transformations were used on this to obtain the functions given below: g(x) = - (0.8)x -2 h(x) = ½ (0.8)x-2 k(x) = (0.8)-3x+9

Using rational functions solve 7+ (1)/x = 1/(x-2)

Science
How are the functions of a human cell different to the functions of a computer?

Using rational functions solve (7+ 1)/x = 1/(x-2)

Math - Fundamental Theorem
We can actually use the Zeros Theorem and the Conjugate Zeros Theorem together to conclude that an odd-degree polynomial with real coefficients must have atleast one real root (since the non-real roots must come in conjugate pairs). But how can we get the same conclusion by ...

chemistry
1. Many types of spectrophotometers produce graphs containing a base line with peaks. How are the peaks seen on the graphs produced by a spectrometer used in identifying substances? 2. If the analysis of a substance by using spectroscopy shows characteristic peaks, how does ...

linear algebra
Let V be the set of all real-valued continuous functions defined on R1. If f and g are in V, we define f ⊕ g by (f ⊕ g)(t) = f(t) + g(t). If f is in V and c is a scalar, we define c f by (c f)(t) = cf(t). Then V is a vector space, which is denoted by C(−&#...

algebra
Below are the functions of y=|x| and y=|x|-5. how are the functions related? A. the functions have the same shape. the y-intercept of y=|x| is 0 and the y-intercept of the second function is 5 B. the functions have the same y-intercept. the second function is steeper than y=|x...

math test
Hi! I have a math test coming up tomorrow, and I need to prepare. but,i don't know how I should. . . any help would be great. she told us to: Be prepared to identify and explain functions, linear functions and proportional functions. Be prepared to use the new function ...

elgebra
indentify the degree of each term of yje polynomial and the degree of the polynomial -2X^3+3x^2+4x+9

Connexus
Suppose you divide a polynomial by a binomial. How do you know if the binomial is a factor of the polynomial?

calculus
Consider the graphs of y = 3x + c and y^2 = 6x, where c is a real constant. a. Determine all values of c for which the graphs intersect in two distinct points. b. suppose c = -3/2. Find the area of the region enclosed by the two curves. c. suppose c = 0. Find the volume of the...

math
a particle M oscillators (that is, moves back and forth) in a straight line along the horizontal axis. the position of M is given by: s(t) = 4 + 2 sin(2t) (1) Find the velocity (v) and acceleration (a) functions. (2) Find the initial position, initial velocity and initial ...

geometry
graph the following 2 graphs - y=2x+3 and y=2x-4. a)state the intersections on the y axis and the x axis. b)what is the vertical and horizontal difference between the two graphs? PLEASE help i don't understand? I know how to graph the eqautions but not too sure about the ...

algebra
Volume of a Box A box is constructed by cutting out square corners of a rectangular piece of cardboard and folding up the sides. If the cutout corners have sides with length x, then the volume of the box is given by the polynomial A box is constructed from a square piece of ...

algebra
Like Terms and Degree Identify the degree of each term of each polynomial. Then find the degree of the polynomial xy^3 + 7x^3y^2 - 6xy^4 + 2

Numerical Analysis
x 0 2 3 4 y 7 11 28 63 a)_Using these values, use the Lagrange interpolation process to obtain a polynomial of least degree. b)_rearrange the points in the table of a) and find the newton form of the interpolating polynomial. Show that they are the same even though their forms...

Algebra
P dollars is invested at annual interest rate r for 1year If the interest is compounded semiannually then the polynomial P(1+r/2)^2 represents the value of the investment after 1 year. rewrite the expressions without parentheses evaluate the polynomial if P=5670 and r=3.5%

Polynomials
P dollars is invested at annual interest rate r for 1year If the interest is compounded semiannually then the polynomial P(1+r/2)^2 represents the value of the investment after 1 year. rewrite the expressions without parentheses evaluate the polynomial if P=5670 and r=3.5%

Math - Functions
For the real valued functions f(x) - |x| - 4 and g(x) = sqrt(5 - x) Find the composition of f o g and the domain in interval notation. Can someone help me solve this?

calculus
give 3 examples of functions from everyday life that are described verbally.what can you say about the domain and range of each of your functions?

calculus
give 3 examples of functions from everyday life that are described verbally.what can you say about the domain and range of each of your functions?

Math - Functions
Is it possible to graph linear functions like h(x) = 3x + 7 without doing a table of values? If it is, how? And I know the slope is 7, which means the y-intercept is (0,7).

Medical Seekers
Health Care providers use computers to perform many functions. Identify at least 4 of those functions!

1.2sinxtanx + tanx-2sinx-1=0 2.6tan^2x-4sin^2x=1 Both functions is for 0<x<2pi thank you!

College algebra
Given a quadratic equation in the form y = ax2 +bx +c , and four choices of graphs representing that equation, how can you tell which choices could be eliminated right away by looking at the equation and looking at the graphs and doing some minimal calculations and not ...

cjs/210
Will someone please help me find a website to find the answer to the following questions? What are the various functions of a police agency? Compare how the functions of a police agency differ at the federal, state, and local levels. What would happen if the various functions ...

Math
Use the functions f(x)=x+4 and g(x)=2x-5 to find the specified functions. (g x f)^-1

Precalc Trig
here's the question: solve for cos(2theta)=1 if you graph r= cos(2Theta) then graph r=1 you find that there are four places where the graphs intersect. however, when solved algebraically, there are two solutions which can be represented in an infinitely many format as: Theta...

Functions
I have to find the domain and range for the composite of functions G(x)=sinx and h(x)=x^2-x+1. I'm confused about this and would really appreciate some help. Thanks.

math
for the given functions f and g, find the specified value of the following functions and state their domains: f(x)=x-5; g(x)=2x^2 a.(f+g)(3)= b.(f/g)(3)= Can someone help me figure this out? pleeeease????

Math
Help me for this question on composite functions Does the composition of functions display the commutative property? Give an example of each case to illustrate your answer.

POLYNOMIALS
The cubic polynomial f(x) is such that the coefficient of x^3 is -1. and the roots of the equation f(x) = 0 are 1, 2 and k. Given that f(x)has a remainder of 8 when divided by (x-3), find the value of k. okay, this is what i did: -x^3 + bx^2 + cx + d = (x-1)(x-2)(x-k) f(3)=8 -...

pre cal
Use synthetic division to show that x is a solution of the third-degree polynomial equation, and use the result to factor the polynomial completely. List all the real zeros of the function. x^3 - 28x - 48 = 0 Value of x = -4 Please help!!Thank you

Math
Suppose you have a graph of a polynomial function and you can see that the function increases without bound on both left and right ends, has 4 real zereos and has 5 turning points. Based on this information, what is the minimum degree of the polynomial?

Algebra (College)
I need to divide this polynomial synthetically. I think I did it right, but can someone confirm if my answer is right or wrong? Polynomial: x^4 - x^3 + x^2 - x + 2 Divisor: x-2 My answer: x^3 + x^2 + 3x + 5 + 12 (remainder) ---- x-2

calculus
can someone please help me find all the zeros of the following polynomial. write the polynomial in factored form. f(x)=x^3-3x^2+16x-48 can you please show all work

algebra
Form a polynomial f(x) with real coefficents having the given degree and zeros Degree 5; Zeros: 2; -i;-7+i Enter the polynomial f(x)=a(____) type expression using x as the variable

algebra
dividing a polynomial by a polynomial example x-3/x with exponent of 2 -10x+9 or even 2x-3/x with exponent of 2 -10x+9 Thank you any great tutorial sites would help me also.

college algebra
form a polynomial f(x) with real coefficients having the given degree and zeros degree 4 zeros 5+3i;3 multiplicity 2 enter the polynomial f(x)=a?()

Trigonometry
All values of theta are positive. From left to right, the first peak occurs at (pi/2,1) and the second peak occurs at (9pi/2). A. Write the graphs equation as a cosine function. B. Write the graphs equation as a sine function.

math
When a polynomial is divided by (x+2), the remainder is -19. When the same polynomial is divided by (x-1), the remainder is 2. Determine the remainder when the polynomial is divided by (x-1)(x+2).

SS Statistics
Hello. Does anyone have any statistic graphs of the Chinese and or Mexican Immigrants? Thx, Dallas Check the graphs at the bottom of the article. http://www.uagrad.org/Alumnus/im/

Math
consider the polynomial (x-a)(x-b) and the real number line In each of the three subintervals of the line, write the sign of each factor and the sign of the product.For which values does the polynomial possibly change signs?

Algebra
Can someone please explain how to do these problems. 1)write a polynomial function of least degree with intregal coefficients whose zeros include 4 and 2i. 2)list all of the possible rational zeros of f(x)= 3x^3-2x^2+7x+6. 3)Find all of the rational zeros of f(x)= 4x^3-3x^2-...

pre-calculus
form a polynomial f(x) with real coefficients having the given degree and zeros. degree 5; zeros -7; -i;-9+i enter the polynomial. f(x)=a(?)

algebra
form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4; zeros:-3 +5i; 2 multiplicity 2 enter the polynomial f(x)=a(?)

Math
Use synthetic division to show that x is a solution of the third-degree polynomial equation, and use the result to factor the polynomial completely. List all the real zeros of the function. x^3 - 28x - 48 = 0 x=2 I have no idea how to start this problem!!

Math
Determine whether the following statement makes sense or does not make sense, and explain your reasoning: When I'm trying to determine end behavior, it's the coefficient of the leading term of a polynomial function that I should inspect. A) This makes sense because the ...

physics
i have this problem, it asks: (a) With what speed must a ball be thrown vertically from ground level to rise to a maximum height of 50m? answer: 31m/s (b)How long will it be in the air?\ answer: 6.4s (c) Sketch graphs of y, v, and a vs. t for the ball. On the first two graphs...

algebra
A polynomial f(x) of degree 3 leaves a remainder of 6 when divided by (x+1) and a remainder of 12 when divided by (x-2). Given that the coefficient of x^3 is 2 and (x+2) is the factor of the polynomial. Show that f(x)= 2x^3+3x^2-5x+2

What polynomial could you subtract from 5x^3 - 12x - x^2 + 9 - 12x^5 - 6x^4 to give a difference of 19 + 8x^3 - 18x - 19x^5 - 2x^2 - 8x^4? Is the answer k (the polynomial) = 7x^5 + 2x^4 - 3x^3 + x^2 + 6x - 28?

algebra
Determine whether each expression is a polynomial. If it is a polynomial, find the degree and determine whether it is a monomial, binomial, or trinomial. 1. 7a^2b + 3b^2 – a^2b 2. 6g^2h^3k

Physics
A car starts from rest and accelerates at a rate of 1 m/s^2 until it reaches a velocity of 7 m/s. It then travels at a constant velocity for the next 15 seconds. The driver then applies the brake, bringing the car to stop. The brakes provide an acceleration of -4 m/s^2. a) ...

Algebra 2 Functions
Use these functions: f(x)=3x-2 g(x)=2 h(x)=4x 1. What is f(g(x))? 2. What is g(18)? 3. Find h(5).

functions
pls. explain transformations on functions..

Algebra
below are the functions of Y=|x| and y=|x| -9 how are the functions related

Math--polynomial equation
Write a polynomial equation with these roots. a)-1,2+ã3,2-ã 3 b)2,5,1

Functions
consider the functions g(x)=(4-x^2)^0.5 and h(x)=(x^2)-5. find the composite functions hog(x) and goh(x), if they exist, and state the domain and range of the composite functions. ------------------------------ ok, i have figured out that hog(x)=-1-X^2, but in my answer ...

algebra 1
Can someone solve theses for me? Factor the polynomial x2 + 7x + 12 completely Factor the polynomial x2 – 4 completely Factor the polynomial 18a2b – 4ab + 10a completely x2 + 7x + 12 = (x+4)(x+3) x2 – 4 = (x+2)(x-2) 18a2b – 4ab + 10a = 2a(9ab - 2b + 5)

Consider the functions
Consider the functions f(x)= 5x+4/x+3(This is a fraction) and g(x)= 3x-4/5-x(This is a fraction) a)Find f(g(x)) b)Find g(f(x)) c)Determine whether the functions f and g are inverses of each other.

MATH
describe how the graphes of y=/x/ and y=/x/-15 are related A:the graphs have the same shape.The y-intersept of y=/x/ is 0, and the x-intercept of the second graph is -15 B: the graphs have the same y-intercept. the second graph is steeper then y=/x/ C:the two graphs are the ...

calculus
when working with composite functions, does fog=gof? how do i create two functions,f(x) and g(x) to show that this statement is either true or false.i need to explain my reasoning

I need help understanding equivalent trigonometric functions! Can someone PLEASE help me because the test is tommorrow and the internet or my textbook isn't helping at all!

math
for the given functions f and g, find the specified value of the following functions and state the domain of each one. f(x)=2+3/x; g(x)=3/x a.(f-g)(2)= b.(f/g)(3)= how do I do this? I need help! it throws me off because of it being in fraction form.

Math--polynomial equation
Write a polynomial equation with these roots. a)-1,2+sqt3,2-sqt3 b)2,5,1 sqt= square root

algebra
Identify the degree of each term of each polynomial. Then find the degree of the polynomial combine like term. m^3+ 2m^2n-3m^2+3ma^2

physics help
Damped Oscillations 1. (a) For each of following graphs, determine if graph shows damped oscillation. (b) if it shows damped oscillation : (i) identify damping factor (ii)where damping occurs Note : use a graphing calculator to sketch these graphs f(x) = ¡î5 cos 1.2 x f(x...

Algebra
I am very confused on how to graph Polynomial Functions and how to determine the extra stuff my HW is asking. a. Graph each function by making a table of values. b. Determine consecutive values of x between which each real zero is located. c. Estimate the x-coordinates at ...

math
ok the directions say.. "using different scales,make either two line graphs or two bar graphs for the set of data.use a break symbol in only one of the graphs.explain which graph shows the data more clearly. "data" ___________________________________ year 1996,1997,1998,1999,...

math
let V be the set of all real-valued continuous functions defined on R1. If f and g are in V, we define f ¨’ g by (f ¨’ g)(t) = f(t) + g(t). If f is in V and c is a scalar, we define c f by (c f)(t) = cf(t). Then V is a vector space, which is denoted by C(−...

math
Create a quadratic polynomial function f(x) and a linear binomial in the form (x − a). Part 1. Show all work using long division to divide your polynomial by the binomial. Part 2. Show all work to evaluate f(a) using the function you created. Part 3. Use complete ...

Use synthetic division to show that x is a solution of the third-degree polynomial equation, and use the result to factor the polynomial completely. List all the real zeros of the function. x^3 - 28x - 48 = 0 Value of x = -4 Please help!!Thank you

Algebra
Right now we are learning about functions, relations, etc. and I am kind of confused. Here is what I have to answer: Determine whether each of the following is a function. Identify any relations that are not functions. Domain A set of avenues Correspondence An intersecting ...

pre-calculus 11
I have a question that two ski decide to have a race. I need show a graph of height versus time of the two skiers going over a jump. I am assuming that both skiers graphs would be parabola's and have a maximum height with both graphs opening downward.

Algebra
What type of polynomial is this? 2 - 5x^3 + 6x A)not a polynomial B)cubic trinomial C)quadric trinomial D)fourth-degree trinomial Since the degree is 4, I think the answer is D. Is this correct?

maths
A pie graphs show the budget of 2 business for 2 different business.How do you work out the different expenses each month and Calculated the cost in Rands.1 company budget is R12000 and other is R9200.How do u work out the pie graphs .need to get the answer a.s.a.p.thanks

Pre Calculus
How are the factors of a polynomial related to the x-intercepts of a polynomial? How do you find the x-intercepts given the factors?

MATH
if alpha and beta are zeroes of the polynomial x2-5x+6,then find the polynomial whose zeroes are root 3 and -root 3

math
compouned semiannually P dollars is invested at annual rate. r for 1 year. If the intrest is compounded semiannually then the polynomial P(1+r/2)by the second power represent the value of the investment after 1 year. Rewrite this expression without parentheses. Evaluate the ...

Math
John wants to hire an editor to check his thesis paper. The editor charges a flat rate of \$50 and \$2 per page. Write a polynomial to describe the cost. Find the cost of editing 75 pages. Calculations: Answer: Polynomial: ____________________Cost:_________________

math
19. Which statement describes the relationship between the line graphs of the equations below? y=-2x+4 y=0.5x+4 A.The line graph are the same line. B.The line graph are parallel lines. C.The line graph are perpendicular lines. D.The line graphs intersect, but are not ...

precalculus
Horizontal Translation and dialation Problem : let f, g, and h be defined f(x)= x2 -2< or equal to x < or equal to 2 g(x)=x-3 for all real valuse of x h(x) = 1/2 x for all real values of x a. f(g(x))= f(x-3). What transformatioon is applied to function f by composing it ...

math
Horizontal Translation and dialation Problem : let f, g, and h be defined f(x)= x2 -2< or equal to x < or equal to 2 g(x)=x-3 for all real valuse of x h(x) = 1/2 x for all real values of x a. f(g(x))= f(x-3). What transformatioon is applied to function f by composing it ...

check my precalc
#1. Make up a polynomial that has the following characteristics: crosses the x axis at 1 and 4, touches the x axis at 0 ad 2. and is above the xaxis between 0 and 2. I did (x+1)(x-4)(x^2)(x-2)^2 #2. its an illustration but one of the queestino says what is the minimum degree ...

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