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.

Expert Solution

Colby Messinger answered 2 years ago

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....

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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

Find Zeros of Function

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

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