# find the zero of the function: f(x)=7.5x-20

94,080 results

### calculus 1

f(x) = 3x^3 - 9x + 5 find the: 1) zeroes or undefined values 2) intervals where the function is greater than zero 3) intervals where the function is less than zero 4) coordinates of all maxima and minima 5) intervals where the function is increasing 6) intervals where the ...

### calculus

Find the interval which contains a zero for the given function. The use Newton's method to approximate the zero of the function within 0.001. a.) f(x)=x^3+x-1 b.)f(x)=2x^3+x^2-x-+1

### College Algebra 105

use the rational zero's theorem to list the potential zero's of the polynomial function. Do not attempt to find the zero's f(x)=-169x^7-x^6+x+13 and then the second part is find the potential rational zero's.

### domain

Find the domains of f and f' 1, f(x) = xe^x 2. f(x) = x^(3/5) 3. f(x) = x/(x-2) TIA 1) R 2) It's the interfal from zero to infinity for f but for f' it is this inteval with zero excluded, because unlike f, f' is singular at zero. 3) Here only the point 2 has to be excluded ...

### college algebra

use the given zero to find the remaining zeros of each function.g(x)=x^3+3x^2+25x+75;zero:-5i

### algebra

Use the given zero to find the remaining zeros of the function. (hx)= 3x^4+5x^3+25x^2+45x-18; zero:-3i labe

### Algebra

Find a polynomial function of degree 6 with −1 as a zero of multiplicity 3, 0 as a zero of multiplicity 2, and 1 as a zero of multiplicity 1. The function is f(x) =

### math

use the given zero to find the remaining zeros of the function: F9x)=x^3-5x^2+4x-20; zero:2i I don't get it. Can someone please show me what to do with this?

### maths(urgent)thanks.

a parabola with turning point at (1,-2) and passing through the origin.find the equation of this parabola. how do i do this? can someone please show me how to solve it step by step?thanks! You know that at x = 0 the function is zero. Because the turning point is at x = 1 must ...

### calc

find the values of a nad b if the function f(x)=2x^3 + ax^2 + bx + 36 has a local max when x=-4 and a min when x=5 First you calculate the derivative: f'(x)=6x^2 + 2ax + b (1) At the local maximum and minumum f' is zero. If a polynomial is zero at some point p, then it must ...

### college algebra

use the given zero to find the remaining zeros of the function h(x)=x^4-15x^3+60x^2+70x-816 zero: 5-3i

### pre-cal

use the given zero to find the remaining zeros of the function. h(x)=x^4-12x^3+36x^2+68x-525 zero:4-3i

### algebra

Using the rational zeros theorem to find all zeros of a polynomial The function below has at least one rational zero. Use this fact to find all zeros of the function g(x)=5x©ù-28©ø-48x©÷-8x+7 if more than one zero, separate with commas. Write exact values, not decimal ...

### algebra

Using the rational zeros theorem to find all zeros of a polynomial The function below has at least one rational zero. Use this fact to find all zeros of the function h(x)=7x^4-9x^3-41x^2+13x+6 if more than one zero, separate with commas. Write exact values, not decimal ...

### algebra

use the given zero to find the remaining zeros of the function h(x)=x^4-15x^3+60x^2+70x-816 zero: 5 show work

### graphing exponential function

P(x) = -(x-a)^4 (x-b)^3 (x-c) where a>0, b<0, c>0, a<c How do I sketch a graph of this? Thanks First you put the points a, b and c on the x-axis, doesn't matter precisely where, as long as it satisfies the conditions: a>0, b<0, c>0, a<c. Then you use ...

### math

i need to find when the function increases or decreases, this is the derivative of the function (10 − 3x)/(2 ¡î5 − x) but how do you solve the function when x is zero?

### Maths, continuity

Plz help me out with a solution... f(x) = sin(1/x) when x is not = to 0 and f(0) = 0 Thanx in advance... A function is continuous if Limit of y-->x of f(y) equals f(x) for every x. In this case you have t see if this is the case for x = 0. f(0) = 0, therefore we need to ...

### to your reply, please check again

that should of said Zero: 5 - 3 i for the one that stated use the given zero to find the remaining zeros of the function h(x)=x^4-15x^3+60x^2+70x-816

### horizontal asymptote

Find the horizontal asymptotes of the function's graph y = 200 / (1+10e^(0.5x)) If you let x --> minus infinty the exponential tends to zero and the function approaches 200. If x --> infinity then the exponential becomes infinite and therefore the limit is zero. So, the ...

### Math

Find a polynomial function of degree 7 with -2 as a zero of multiplicity 3, 0 as a zero of multiplicity 3, and 2 as a zero of multiplicity 1. f(x)= Gracias

### Math

Find a polynomial function of degree 4 with-2 as a zero of multiplicity 3 and 0 as a zero of multiplicity 1. f(x)= Gracias

### Algebra

Find a polynomial function of degree 4 with −2 as a zero of multiplicity 3 and 0 as a zero of multiplicity 1. f(x)= Thank you!

### algebra

Want to make sure I am doing this correctly. Use the Intermediate Value Theorem for polynomials to show that the polynomial function f(x)has zero between the numbers given. f(x)=3x^2-x-4 ; 1 and 2 3(1)^2-1-4= - 2 below zero 3(2)^2-1-4= 6 above zero Am I doing this problem correct

### College Algebra

1.Give a quadratic function q(x) with a vertex of (-1, 2). 2. Give a function h(x) which does not have an inverse function. 3. Give a polynomial function g(x) with zeros 1,2,3 4. Give an exponential function s(x) passing through (0,2) and (4,1). 5. Give a rational function R(x...

### Math

Write a rational function satisfying the following criteria. vertical Asymptote: x=-1, slant asymptote: y=x+2, zero of the function: x=3 I had f(x)=x^2+3x+2/x+1, that only works for the asymptotes and not the zero can someone please help me figure how to satisfy all three ...

### ap algebra

Can you please help me with these problems I don't understand them? thanxs! Find the zeros for the polynomial function and give the multiplicity for each zero. State whether the graph crosses the x-axis or touches the x-axis and turns around, at each zero. f(x) = 2(x - 2)(x + ...

### ap algebra

Can you please help me with these problems I don't understand them? thanxs! Find the zeros for the polynomial function and give the multiplicity for each zero. State whether the graph crosses the x-axis or touches the x-axis and turns around, at each zero. f(x) = 2(x - 2)(x + ...

### Precalc

The complex number -3 + 2i is one zero for a polynomial function. Which complex number must also be a zero for this function? -3 + 2i 3 + 2i -3 - 2i 3 - 2i I am very confused with what the question is exactly asking. Please help? Thanks

### Calculus

How many critical points does the function f(x) = [(x-2)^5][(x+3)^4] have? A. 1 B. 2 C. 3 D. 5 E. 9 --- Ok, these are my thoughts on this question: My impulse was to do derivative of the function. However, if I'm going to set the function equal to zero to find some critical ...

### math please

1.Give a linear function with its zero at x=a, what is the equation of the vertical asymptote of its reciprocal function? 2.Give a quadratic function with its zeros at x=a and x=b, what are the equations of the vertical asymptotes of its reciprocal function? 3.Once you know ...

### Calculus

Consider the function f(x)=(4^x−1)/x. (a) Fill in the following table of values for f(x): x= -0.1 -0.01 -0.001 -0.0001 0.0001 0.001 0.01 0.1 f(x)= I the the falues of f(x) for each interval... (b) Based on your table of values, what would you expect the limit of f(x) as ...

### Calculus

Consider the function f(x)=(4^x−1)/x. (a) Fill in the following table of values for f(x): x= -0.1 -0.01 -0.001 -0.0001 0.0001 0.001 0.01 0.1 f(x)= I the the falues of f(x) for each interval... (b) Based on your table of values, what would you expect the limit of f(x) as ...

### College Algebra

3x-1/x^2-10x+26 Find all (real) zeros of the function Find all (real) poles of the function The function has... A horizontal asymptote at 0? A non-zero horizontal asymptote? A slant asymptote? None of the above

### Algebra

Use the given zero to find the remaining zeros of the function. f(x)=x^3-2x^2+9x-18;zero;3i Enter the remaining zeros of f =

### Calculus

Consider the function f(x)=sin(5x)/x. (a) Fill in the following table of values for f(x): x= -0.1 -0.01 -0.001 -0.0001 0.0001 0.001 0.01 0.1 f(x)= ( I need the values of f(x) for each x) (b) Based on your table of values, what would you expect the limit of f(x) as x approaches...

### Math

The graph of a rational function has a local maxima at (-1,0) and (8,0). The complex number 2+3i Is a zero of the function. What is the least possible degree of the function Answer is 6 But i need help with an explanation.

### Pre-Calc

Fill in the blank; •In the process of polynomial division (Divisor)(Quotient)+_______=_______ •When a polynomial function f is divided by x-c, the remainder is _______. •If a function f, whose domain is all real numbers, is even and if 4 is a zero of f, then _______ is ...

### algebra

find the zero of the function: f(x)=7.5x-20

### Math

find an equation for a ploynomial function with zeros, negative 8, negative 3 over 4, 1 over 5, and 2. hey it is 53h8kkds f (x) = x(x+8)(x+ 3/4)(x- 1/5)(x-2) will be zero when any one of the factors is zero. Multiply the factors to get the polynomial form.

### Math

The function f(x)=x^2+5x+6 has zeros at -2 and -3. What are the zeros of the function y=-2f(x/11) ? Do you just plug x/11 into each x value in f(x)? Like f(x)= (x/11)^2+5(x/11)+6 (I exclueded the -2 because if I divide 0 by -2, it's still zero)? But then how can you find the ...

### Math-precalc

Is it possible to find a rational function that has x-intercepts (-2,0) and (2,0), but has vertical asymptote x=1 and horizontal asymptote of y=0? The horizontal asymptote and the x-intercepts parts stump me. If you can't reach y=0, then how can you get the x-intercepts? And I...

### Pre-calc

Use the given zero to find the remaining zeros of the function: h(x)=x^4-15x^3+55x^2+155x-1476 Zero:5-4i I multiplied [x-(5-4i)][x-(5+4i)] and got x^2-10x+9. The example I have says to divide that by h and get a second quadratic equation that is also a factor of h. I have to ...

### Calculus

Write an expanded polynomial equation based on the following information. A cubic function with a zero x=3 (with multiplicity 2), a zero at x=2, and a constant term of 18.

### Math

find the the 2nd derivative and set equal to zero in order to find inflection points of the function f(x)=1/(5x^2+4)

### use the given zero

Use the given zero to find the remaining zeros of the function. f(x)=x^3-2x^2+9x-18;zero;3i Enter the remaining zeros of f =

### Pre Cal

Write an expanded polynomial equation based on the following information. A cubic function with a zero at x=3 (with multiplicity 2), a zero at x=2, and a constance term of 18.

### Math

A, find domain each function, locate any intercept, also based on graph find the range and ? F(x) 2x of x not equal to zero

### algebra

Find the points of discontinuity and any holes. y=x^2-1/(x^2+3x+2) please and thank you y =(x^2-1)/((x+1)(x+2)) =(x-1)/(x+2) we cancelled the (x+1)/(x+1) which is 0/0 for x=-1 so in our simplified expression when x=-1 y = -2 There is a "hole" at (-1,-2) in the final expression...

### Calculus

Let f(x) = x*sin(5.8/x), x not equal to Zero and f(x) = L, x = Zero. Find the value of L so that f(x) is continuous at Zero. Thanks!!

### Calculus

For y=(1/4)x^4-(2/3)x^3+(1/2)x^2-3, find the exact intervals on which the function is a. increasing b. decreasing c. concave up d. concave down Then find any e. local extreme values f. inflection points --- I thought it'd be better to find extreme values first, then you can ...

### Precalculus

1. In an arithmetic sequence, the fifth term, u5, is greater than the first term, u1. The difference between these terms is 36. a) find the common difference 9? The tenth term of the sequence is double the seventh term . b) find u1 2.5? 2. Consider the function f(x) = ax^3 -3x...

### Calculus

Graph the function f(x)= x sin( 1/x) and the equations y=|x| and y=-|x| in the same viewing window on your calculator. Then use the squeeze therom to find the limit of f(x) as it approaches zero. I graphed the function and equations, but I am confused on how to find the limit ...

### math- finding zeros

Using the given zero, find all the zeroes and write a linear factorization of f(x) 1 + i is a zero of f(x)= x4-2x^3-x^2 + 6x -6 I did synthetic division and I got that it wasn't a zero?

### Algebra

Using rational zero theorem find all rational zeros P(x)=3x^3+43x^2+43x+27 Factors: 27, -1, 3, 9, 27 Factors: 3, -1, 3 +-1/3, +-1, +-3, +-9, +-27 possible rational zero for function P(x)

### Calculus

What is the limit of this function as x approaches 0? cos(x) - 1 / x From what I gather, the limit is equal to 0, since on the right, the function approaches from negative values close to zero and on the left, it approaches 0 with positive values close to zero. Would this be ...

### Calculus

Find all points on the graph of the function f(x) = 2 cos(x) + (cos(x))2 at which the tangent line is horizontal. Consider the domain x = [0,2π). I have pi/2 and 3pi/2 for x values. But when I plug them I get zero. Is this correct as y values or am I solving it wrong? I ...

### calculus

Use the Newton method to approximate the indicated zero of the function. Continue with the iteration until two successive approximations differ by less than 0,0001 the zero of: f(x)=x^3+2x^2+x-7 between x=1 and x=2, x0=1

### Pre Calc

I am familiar with this type of problem but can't seem to get the right answer. Use the given zero to find the remaining zeros of each function f(x)=x^4-9x^3+7x^2-91x-348,zero 5-2i I normally would use synthetic division with the root 5-2i bringing it down to x^3. Then ...

### Calc and Vectors

Corey is asked to find the maximum value of a function. Not having a complete understanding of the process, Corey decides to find the derivative of the function, set it equal to zero, and solve. The resulting value, Corey reasons, will yield the maximum point. Explain fully ...

### Math

use the given zero to find all the zeros of the function. f(x) = x^3 + x^2 + 9x + 9 r = 3i I do not understand this!!

### math

a company makes and sells sailboats. The company's cost function in thousands of dollars is C(x)=2x+20, and the revenue function in thousands of dollars is R(x)=4x, where x is the number of sailboats. Find and simplify the profit function, P(x). How many boats must be sold for...

### math

* Give a linear function with its zero at x = a, what is the equation of the vertical asymptote of its reciprocal function? * Give a quadratic function with its zeros at x = a and x = b, what are the equations of the vertical asymptotes of its reciprocal function?

### algebra functions

look at the function and answer the questions. x y -3 2 -1 0 0 5 1 2 2 7 What is x when f(x)=2 ? What is a zero of this function?

### Math

This is on the 2008 Free response AP Calc AB exam- #4a. Let f be the function given by f(x)=(lnx)(sinx). The figure above shows the graph of f for 0<=x<=2pi. The function g is defined by int{1,x} f(t)dt for 0<x<=2pi. a) find g(1). I don't get why it is equal to ...

### Algebra 2- reposted no one answered

look at the function and answer the questions. x y -3 2 -1 0 0 5 1 2 2 7 What is x when f(x)=2 ? What is a zero of this function?

### math

A model rocket is launched straight upward. Its altitude y as a function of time is given by y = btct2 , where b = 82 m/s, c = 4.9 m/s2 is the time in seconds, and y is in meters. (a) Use differentiation to find a general expression for the rockets velocity as a function of ...

### algebra

Find the Zero of the Function...I am clueless as to how to help my son with this math. Here is the problem. f(x)=16x-4

### Pre-Cal

Find the greatest integral upper bound of the zeros for the following function. f(x) = 4x^3 - 2x^2 - 12x + 1 Find the real zero(s) to the nearest tenth. f(x) = 2x^3 + x^2 - 1 [I believe the numbers should be around -1 and 0 and 0 and 1.]

### Pre-Calculus

Approximate the greatest real zero of the function g(x)= x^3-3x+1 to the nearest tenth. I know that there is a zero between -2 and -1, and another between 0 and 1 but do not know how to find it to the nearest tenth. The only example shown in my book uses a calculator and mine ...

### calculus

Find the first four iterates of the function using the given value. f(x)= x(2.5 - x); x sub zero = 3

### calculus

Find a formula for a quadratic function whose graph has a y-intercept at y = 21 and only one zero at x = –28.

### math

Find a quadratic function in standard form that has 3-1/4i as a zero and also passes through the point (1,-70).

### College Algebra

1. Use the Intermediate Value Theorem to show that the polynomial function has a zero in the given interval. f(x) = 13x^4 - 5x^2 +7x -1; [3,0] Enter the value of (-3). 2. Use the Intermediate Value Theorem to show that the polynomial function has a zero in the given interval. ...

### function

given that f(x)= 3-7x+5x^2-x^3, factorise the polynomial completely, hence state the set of values of x for which the function is equal or less than zero .

### Factor Theorem Math

Use the Factor Theorem to determine the rational zeros of this function. Then use other methods to determine any other zero of this function. 4x^4-x^3-11x^2-2x+6 (I already did p/q and found a total of 16 possible zeros. I synthetic divide all of them and none gave me a root ...

### alg 2

find all zeros of the following function: f(x)=x^3-x^2+4x-4 I have (x^2+4)(x+1) so one zero is 1. how do i find the two other zeros.

### Linear Algebra

Hello, I'm trying to find the Fourier Series of a function which is 1 from -pi/2 to pi/2, and zero everywhere else inside of -pi to pi. I realize this is a square wave and I began the problem with a piecewise function s(t) = 1 abs(t) < pi/2 0 abs(t) > pi/2 Then I had a_k...

### Linear Algebra

Hello, I'm trying to find the Fourier Series of a function which is 1 from -pi/2 to pi/2, and zero everywhere else inside of -pi to pi. I realize this is a square wave and I began the problem with a piecewise function s(t) = 1 abs(t) < pi/2 0 abs(t) > pi/2 Then I had a_k...

### Calculus

I'm supposed to find the average value of the function over the given interval. f(x) = sin(nx), interval from 0 to pi/n, where n is a positive integer. I know the average value formula, and I know that the integral of that function would be (-1/n)cos(nx), but I keep getting ...

### Algebra

Suppose that a polynomial function of degree 5 with rational coefficients has 0 (with multiplicity 2), 6, and –2 + 3i as zeros. Find the remaining zero. A. –6 B. –2 – 3i C. 0 D. 2 + 3i

### algebra

Find all zeros of the polynomial function P(x)=x^4 + 2 x^3 - x^2 - 2 x . If there is more than one zero write them separated by commas. x=

### Calulus

Consider the function y = 2x^3-3x^2+9x+5. 1. Find where the function is increasing, where the function is decreasing, and calculate all relative extrema (local max and local min) 2. Find where the function is concave up, where the function is concave down, and find the ...

### Math

A continuous function f has domain of all real numbers. If f(-1) = 5 and f(1) = -5, explain why function f must have at least one zero in the interval [-1, 1]

### calc

one more question!! what values of c deos the polynomial f(x) = x^4 + cx^3 + x^2 have two inflection points? one inflection point? At the inflection point, the slope of the curve is zero. Find the dervative of f(x) and set it equal to zero. For certain values of c, there will ...

### parabolas

how do i find the equaion of the following parabolas? 1)intercepts at (2,0),(8,0) and (0,48) 2)turning point at (1,-2) and passing through the origin. can someone please teach me how to do this??thanks! The first: Write you standard equation of a parabola (it has two x ...

### Math

How do you find critical points in a function? For example, find the critical points in f(x)=12+2x^2-x^4 please help me somebody find the derivative and set it equal to zero

### Math 116

Use all available methods (in particular, the Conjugate Roots Theorm if applicable) to factor the polynomial function completely, making use of the given zero, f(x)=x^4+x^3+4x^2+196x-2205; -7i is a zero.

### algebra

which of the following is true about the polynomial f(x) = x3 + 9x2 + 24x + 16 ? a. -1 is a zero b. 1 is a zero c. -2 is a zero d. 2i is a zero

### Math Help Please

Suppose that a polynomial function of degree 5 with rational coefficients has 0 (with multiplicity 2), 3, and 1 –2i as zeros. Find the remaining zero. A. –2 B. –1 – 2i C. 0 D. 1 + 2i

### Algebra

Suppose f(x) is a rational function such that 3f(1/x)+(2f(x)/x)=x^2 for all non-zero x. Find f(-2). I noticed that f appears as f(x) and f(1/x). That's probably important...

### Pre Calculus 12

Graphing trigonometric functions A sinusoidal function has a maximum at (2,10) and its next minimum (5,-2) find an equation that represents this situation A sinuosoidal function has a zero at (5,0) and its next minimum is (7,-4). find an equation that represents this situation...

### increasing decreasing and more

How to analytically find the intervals on which the function y = 2x^4 - 4x^2 + 1 is 1)increasing 2)decreasing 3)concave up 4)concave down Also find any local extreme values and inflection points. Thanks. (1) The function is increasing when the first derivative dy/dx = 8x^3 - ...

### calc

Consider the function below. (Round the answers to two decimal places. f(x) = 2x tan(x) -p/2 < x < p/2 (a) Find the interval where the function is increasing. Find the interval where the function is decreasing. (b) Find the local minimum value. (c) Find the interval ...

### Algebra

Please check my answers. Thanks! Solve the polynomial equation. In order to obtain the first root, use synthetic division to test the possible rational roots. 5.2x^3-13x^2+22x-8=0 -My answer:{1/2,2,4} 6.x^3-8x^2-x+8=0 -My answer: {1,-1,8} Find the rational zero of the ...

### Math

ok so i'm kinda sort of confused... I had this for a equation X^2 + 4X - 1 = 0 and then I was like zero??? zero... really zero... hmm... X^2 + 4X - 1 = dy ???????? That zero does represent when Y equals zero correct??? this allows us to solve for X OH!!!!!!!!!!!!!! wait so I'm...

### pre-cal

Let f(x) be polynomial function. Explain in your own words how to use the Rational Zero Theorem to find the real zeros of f (x).

### PreCalculus

Suppose that a polynomial function of degree 5 with rational coefficients has the given numbers as zeros. Find the other zero( s): -1, radical 3, 11/3

### finding numbers

The sum of two positive numbers is 20. Find the numbers if the sum of their squares is as large as possible; as small as possible. What does it mean? This is from applications of derivatives. How do I solve this. Two numbers, x, and 20-x Sumsquares= x^2 + (20-x)^2 is max. Take...