Functions Increasing and Decreasing Intervals

Identify where the function is decreasing.

• x < 0

• x > 0

• x < -3 , x > 3

• -3 < x < 3

When is this function increasing?

• −2.5 < x < 2.5

• 0 < x < 5

• 0 < x < 55

• −5 < x < 0

List the types of intervals that the graph demonstrates in order.

• decreasing, constant, increasing, constant

• increasing, decreasing, constant

• increasing, constant, increasing, constant

• increasing, constant, decreasing, constant

Given a function, f(x), if f'(x)<0 over a certain interval, then f(x) is ____________ over that interval.

• decreasing

• increasing

• concave up

• concave down

What is the interval of increase of this function?

• (1, ∞)

• None

• (2, ∞)

• (-∞, ∞)

On which interval(s) is the given function increasing?

• (-∞, 2) U (-2, ∞)

• (-2, 2) U (-2, ∞)

• (-∞, -2) U (0.5, ∞)

• (0, 2) U (0.5, ∞)

When is the function decreasing?

• (30, 55)

• (40, 60)

• (15, 40)

• (60, -40)

For what intervals of x is f(x) decreasing?

• x≤0

• x≥0

• -2<x<2

• x>-2

What are the intervals on which f(x) = 2x⁴- 4x² + 1 is strictly increasing?

• (-1,0)

• (0,1)

• (-∞,-1) and (1,∞)

• (-1,0) and (1, ∞)

Where is the function increasing?

• (-∞,5]

• (-∞,0]

• (-∞,2]

• [0,2]