Polynomials Increasing Decreasing Intervals

What is the interval of decrease for Graph #6?

• (-∞, -3)

• (-3, ∞)

• (0, 3)

• (3, ∞)

Answer explanation

Graph #6 decreases on the interval (-∞, -3) because the function values are falling as x approaches -3 from the left. Beyond -3, the graph may increase or remain constant.

What is the interval of increase for Graph #7?

• (-∞, -3)

• (-3, ∞)

• (0, 3)

• (3, ∞)

Answer explanation

Graph #7 increases on the interval (-∞, -3) because the function values rise as x approaches -3 from the left. The other intervals do not show an increase in function values.

For Graph #9, what is the interval where the function is increasing?

• (-1, 0) ∪ (1, ∞)

• (-∞, -1) ∪ (0, 1)

• (-∞, 0) ∪ (1, ∞)

• (0, 1) ∪ (1, ∞)

Answer explanation

The function is increasing in the intervals where the slope is positive. For Graph #9, this occurs in the intervals (-1, 0) and (1, ∞), making the correct answer (-1, 0) ∪ (1, ∞).

This graph increases from...

• ( -1, 1 )

• ( 0, 4 )

• [ -1, 1 ]

• [ 0, 4 ]

This graph is decreasing on the intervals...

• ( -∞, -2 ) U ( 2, ∞ )

• ( -∞, 0 ) U ( 4, ∞ )

• ( -2, 2 )

• ( 0, 4 )

What is the maximum of this graph?

• -3

• 2

• -1

• 4

What is the minimum of this graph?

• 2

• 4

• -3

• -1

This is increasing on the interval (s)...

• ( - ∞, -2 ) U ( 2, ∞ )

• ( - ∞, 16 ) U ( -16, ∞ )

• ( -2, 2 )

• ( - ∞, -2 )

This graph is _______ in the highlighted areas.

• Decreasing

• Increasing

4 is a(n)...

• Absolute Maximum

• Absolute Minimum

• Local Maximum

• Local Minimum