Q44. - Algebra 2

Question

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.

Step-by-Step Solution

Answer

a. It goes downwards both on the left and the right side.

b. It is an even-degree polynomial function.

c. There are 2 real zeros.

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 downwards both on the left and the right side.

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 both on the left and the right side.

Since it goes to the same side on both ends, so it is an even-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 2 times. So there are 2 real zeros.