Analyzing Zeros and Function Behavior

Analyzing Zeros and Function Behavior

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to sketch the graph of the function f(x) = x^3 + 2x^2 - 8x. It covers determining the end behavior, finding zeros, analyzing behavior near each zero, and identifying points between zeros. The tutorial concludes with graphing the function using the calculated points.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the function we are graphing in this tutorial?

f(x) = x^3 + 2x - 8

f(x) = x^3 + 2x^2 - 8x

f(x) = x^2 + 2x - 8

f(x) = x^3 - 2x^2 + 8x

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the end behavior of the function f(x) = x^3 + 2x^2 - 8x?

The graph behaves like x^2

The graph behaves like x^3

The graph behaves like x^4

The graph behaves like x

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do we find the zeros of the function f(x) = x^3 + 2x^2 - 8x?

By graphing the function

By using the quadratic formula

By factoring and setting each factor to zero

By solving x^2 + 2x - 8 = 0

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the zeros of the function f(x) = x^3 + 2x^2 - 8x?

0, 2, -4

0, -4, 2

0, 4, -2

0, -2, 4

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the behavior of the function near the zero at x = 0?

The function is linear

The function is quadratic

The function is cubic

The function is constant

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the behavior of the function near the zero at x = -4?

The function is quadratic

The function is linear

The function is constant

The function is cubic

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the behavior of the function near the zero at x = 2?

The function is constant

The function is cubic

The function is quadratic

The function is linear

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