Increasing and Decreasing Quadratics

Over what interval is this function constant?

• −5 < x < ∞

• −3 < x < 4

• 4 < x < ∞

• −5

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/are the decreasing interval(s) for the function shown?

If given f'(x) how would you find the intervals which the graph f(x) has a positive slope?

• f'(x) < 0 (negative)

• f'(x) > 0 (positive)

• f'(x) is increasing

• Can't be determined

What is the interval of increase and decrease in the following function.

• Decreasing at (5, 0) and (0, 2)

• Decreasing at (-5, -2) and (0, 2)

• Increasing at (2, 6)

Determine the interval in which this function is INCREASING.

• [-4, ∞)

• [-3, ∞)

• (∞, -3]

• (-∞, -4]

Determine the interval in which this function is INCREASING.

• (-∞, 2]

• [2, ∞)

• [2, -∞)

• (-∞, 1]

Determine the interval in which this function is DECREASING.

• [-3, ∞)

• [-3, ∞)

• (-∞, -4]

• (-∞, -3]

Determine the interval in which this function is DECREASING.

• (-∞, 2]

• [2, ∞)

• [2, -∞)

• (-∞, 1]

Find the decreasing interval