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Q39.

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Algebra 2
Found in: Page 351
Algebra 2

Algebra 2

Book edition Middle English Edition
Author(s) Carter
Pages 804 pages
ISBN 9780079039903

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Short Answer

For each graph,

a. Describe the end behaviour.

b. Determine whether it represents an odd-degree or an even-degree polynomial function, and

c. State the number of real zeros.

a. It goes upwards on the right and goes downwards on the left.

b. It is an odd-degree polynomial function.

c. There are 3 real zeros.

See the step by step solution

Step by Step Solution

a.Step 1. Given

Given graph is:

Step 2. To determine

We have to describe the end behaviour.

Step 3. Calculation

From the graph,

It goes upwards on the right and goes downwards on the left.

b.Step 1. Given

Given graph is:

Step 2. To determine

We have to determine whether it represents an odd-degree or an even-degree polynomial function.

Step 3. Calculation

From the graph,

It goes downwards on the left and goes upwards on the right.

Since it goes to two different sides on both ends, so it must be an odd-degree polynomial function.

c.Step 1. Given

Given graph is:

Step 2. To determine

We have to state the number of real zeros.

Step 3. Calculation

From the graph,

It cuts the x-axis 3 times. So there are 3 real zeros.

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