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Precalc Honors 2.2 Homework

Last updated 3 months ago

5 questions

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Question 1

1.

Describe the end behavior of the graph using the leading term of the polynomial.

Question 2

2.

Estimate the number of real zeros and extrema (turning points) of the function based on the degree of the function.

Question 3

3.

Factor f\left(x\right)=x^6-8x^5+12x^4 and find the exact zeros.

Question 4

4.

Draw a polynomial with the following characteristics:
* 5 unique zeros
* A zero with multiplicity 2
* A positive leading coefficient (think about end behavior for this one)

Question 5

5.

Write a potential function expression for your polynomial (it doesn't have to match the graph perfectly).