1. Sketch the graph of a function that has degree 3, and zeros at -2, +2,...

1. Sketch the graph of a function that has degree 3, and zeros at -2, +2, and +3. Is there only one possible graph? Explain.

2. Find the equation of a 3^rd degree function that has a zero of order 3, a vertical stretch of -2, is translated 3 units to the right and 5 units up. (2,21) is a point on the function.

Solutions

Expert Solution

Colby Messinger answered 1 year ago

Next > < Previous

Related Solutions

Sketch the graph of the function ?(?)= (2x2-5x+2)/(x+1)2, given the derivatives: ? ′(?) = (9?−9)/(?+1)3 and...

Sketch the graph of the function ?(?)= (2x2-5x+2)/(x+1)2, given the derivatives: ? ′(?) = (9?−9)/(?+1)3 and ? ′′(?) = (36?−18)/(?+1)4 Your sketch should consider the following: ● x- and y-intercepts, if any. ● Horizontal and vertical asymptotes, if any. (Show the computation of any relevant limit.) ● Intervals over which ?(?) is increasing/decreasing. ● Intervals over which ?(?) is concave up/down. ● Relative (local) maximum/minimum points and points of inflection, if any. Identify these clearly on the sketch.

How to find the polynomial function with real coefficients, degree 5, zeros 1+i, -3, and 5,...

How to find the polynomial function with real coefficients, degree 5, zeros 1+i, -3, and 5, and P(0)=30 and P(4)= -70?

Sketch a graph of f(x)= -2(x-1)^2(x+1), based on all the data about zeros, long run behavior,...

Sketch a graph of f(x)= -2(x-1)^2(x+1), based on all the data about zeros, long run behavior, etc.

Find a polynomial f(x) of degree 3 that has the indicated zeros and satisfies the given...

Find a polynomial f(x) of degree 3 that has the indicated zeros and satisfies the given condition. −5, 1, 2; f(3) = 48 Find a polynomial f(x) of degree 3 that has the indicated zeros and satisfies the given condition. −3, −2, 0; f(−4) = 24 Find a polynomial f(x) of degree 3 that has the indicated zeros and satisfies the given condition. −2i, 2i, 5; f(1) = 40 Find the zeros of f(x), and state the multiplicity of each zero. (Order your...

Find the real zeros of the function f(x) = -(x+1)^3(x-2)^2 and their corresponding multiplicities. Use the...

Find the real zeros of the function f(x) = -(x+1)^3(x-2)^2 and their corresponding multiplicities. Use the information along with a sign chart (diagram) and then the end behavior to provide a rough sketch of the graph of the polynomial.

Sketch the graph of y = x3 − 3x + 3.

1. List the possible rational zeros of the the polynomial function. Do not find the zeros....

1. List the possible rational zeros of the the polynomial function. Do not find the zeros. f ( x ) = 3 x 5 − 5 x 2 + 6 x − 1 A) ± 1 , ± 3 B) ± 1 , ± 1 3 C) ± 1 , ± 1 3 , ± 3 D) ± 3 , ± 1 3 Group of answer choices A B C D 2. Find zeros and write the polynomial in factored...

Find Zeros of Function

Find the zeros of given function : y= (x+1)²(x-1)(x-2)

1) Sketch the graph of the function ℎ(?) = ?^5⁄3 − 5?^2⁄3 , showing all work...

1) Sketch the graph of the function ℎ(?) = ?^5⁄3 − 5?^2⁄3 , showing all work for domain, intercepts, asymptotes, increase/decrease, relative extrema, and concavity. 2) For the function ?(?) = 2?^2−6/(?−1)^2 , find a) all intercepts, and b) all asymptotes. 3) Determine the concavity of the function ?(?) = ?^2?^−? . 4) Use properties of logarithms to rewrite the expression below as a sum, difference, or multiple of logarithms. ln ?(rad 3)√?^2 + 1 3 5) Use properties of...

Sketch the graph of the given function. (x^2+x-2) / x^2 Give a) x intercept b) y...

Sketch the graph of the given function. (x^2+x-2) / x^2 Give a) x intercept b) y intercept c) Vertical asymtope d)Horizontal asymtope e) first derivative f)second derivative g)critical numbers h)extrema max/min i) y coordinate of exterma j) possible point of infletion h)y coordinate of possible point of inflection k) table l)graph

Subjects