1. a) Create an equation for a polynomial function, P(x), of degree 3 or higher, in factored form that satisfies the following 4 conditions: O The function has only 3 x-intercepts O P(-4) = 0 O P(2) = 5 O The function has only 2 positive intervals

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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Author:HOUGHTON MIFFLIN HARCOURT
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Chapter8: Graphing Quadratic Functions
Section8.3: Graphing F(x)=ax2+bx+c
Problem 2E
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THINKING:
1. a) Create an equation for a polynomial function, P(x), of degree 3 or higher,
in factored form that satisfies the following 4 conditions:
O The function has only 3 x-intercepts
O P(-4) = 0
O P(2) = 5
O The function has only 2 positive intervals
Remember to explain what each condition means and how you used each
condition to help you create your polynomial function
b) Graph the polynomial function you created to help you verify that all 4 conditions
have been met.
Use specific features on the graph to explain how your function satisfies all
4 conditions.
Transcribed Image Text:THINKING: 1. a) Create an equation for a polynomial function, P(x), of degree 3 or higher, in factored form that satisfies the following 4 conditions: O The function has only 3 x-intercepts O P(-4) = 0 O P(2) = 5 O The function has only 2 positive intervals Remember to explain what each condition means and how you used each condition to help you create your polynomial function b) Graph the polynomial function you created to help you verify that all 4 conditions have been met. Use specific features on the graph to explain how your function satisfies all 4 conditions.
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