Question

LOAD OF QUESTIONS:

15 POINT PER ANSWER

6. Describe the end behavior and determine whether the graph represents an odd-degree or an even-degree polynomial function. Then state the number of real zeros.

Answer 1

the end behavior of the function f(x)

the function f(x) must has odd number of roots ( where the graph of a function intersects the x-axis

the width cant be negative so the width of the rectangle would be 8 inches

Answer 2

Odd-degree polynomial function.

Explanation:

The given function is attached.

When we analyse function graphs, we can determined if the function is odd-degree or an even-degree.

A real powerful characteristic to know this is by observing the ending points of the function. If both ending points are pointing to the same direction, then it's a even-degree function, but if they are pointing to different directions, then it's an odd-degree functions.

So, in this case, you can observe in the image attached that the ending points of the graph are pointing to opposite directions, one is downwards and the other one is upwards.

Therefore, the graph represents an odd-degree functions.