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a)Write an equation for a degree 3 polynomial that has zeros at x = -2, x = 1, and x = 4, as well as a vertical intercept of (0, -7). Your answer may be factored (you don't have to multiply out the factors). Hint: A vertical stretch or compression can move the vertical intercept to the right place without changing the zeros! You'll need to figure out what the right stretch/compression factor is.

a)Write an equation for a degree 3 polynomial that has zeros at x = -2, x = 1, and x = 4, as well as a vertical intercept of (0, -7). Your answer may be factored (you don't have to multiply out the factors). Hint: A vertical stretch or compression can move the vertical intercept to the right place without changing the zeros! You'll need to figure out what the right stretch/compression factor is.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Arial 14 + BIUA =|に 1 4 a)Write an equation for a degree 3 polynomial that has zeros at x = -2, x = 1, and x = 4, as well as a vertical intercept of (0, -7). Your answer may be factored (you don't have to multiply out the factors). Hint: A vertical stretch or compression can move the vertical intercept to the right place without changing the zeros! You'll need to figure out what the right stretch/compression factor is. b)Let f(x)= 2(x-4)(x+1)/(x-1)(x-3) 1.find all the intercepts 2.Calculate and write the equations of all asymptotes. 3. Sketch a graph. Label the axes x and y, label the intercepts with ordered pairs to indicate a scale, and sketch in all asymptotes with dotted lines. Be sure to show clear behavior on both sides of all vertical asymptotes. c) Let g(x)=x+2/x^2+2x-3 1.Calculate all intercepts. 2.Calculate and write the equations of all asymptotes. 3. Sketch a graph. Label the axes x and y, label the intercepts with ordered pairs to indicate a scale, and sketch in all asymptotes with dotted lines. Be sure to show clear behavior on both sides of all vertical asymptotes.
Transcribed Image Text:Arial 14 + BIUA =|に 1 4 a)Write an equation for a degree 3 polynomial that has zeros at x = -2, x = 1, and x = 4, as well as a vertical intercept of (0, -7). Your answer may be factored (you don't have to multiply out the factors). Hint: A vertical stretch or compression can move the vertical intercept to the right place without changing the zeros! You'll need to figure out what the right stretch/compression factor is. b)Let f(x)= 2(x-4)(x+1)/(x-1)(x-3) 1.find all the intercepts 2.Calculate and write the equations of all asymptotes. 3. Sketch a graph. Label the axes x and y, label the intercepts with ordered pairs to indicate a scale, and sketch in all asymptotes with dotted lines. Be sure to show clear behavior on both sides of all vertical asymptotes. c) Let g(x)=x+2/x^2+2x-3 1.Calculate all intercepts. 2.Calculate and write the equations of all asymptotes. 3. Sketch a graph. Label the axes x and y, label the intercepts with ordered pairs to indicate a scale, and sketch in all asymptotes with dotted lines. Be sure to show clear behavior on both sides of all vertical asymptotes.
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