Quadratic Intervals

Which of the following represents the function is increasing?

• x < -1 or x < 3

• -1 < x < 3

• x>1

• x<1

The graph of a quadratic function is shown. For what domain is is CONCAVE UP?

On what interval is the f(x) positive and increasing?

• (-5, 0) U (2, ∞)

• (-5, -3) U (2, ∞)

• (-1, 0) U (2, ∞)

• (-1, ∞)

Use your graphing calculator to graph and determine ALL the correct answers.

Over what intervals is the average rate of change decreasing?

• (-∞, 1)

• (0, 2)

• (-1, ∞)

• (-∞, 2)

f(x) = 2x² + 12x + 16
What is the average rate of change of f(x) on the interval [-3, -2].

• 2

• 1/2

• -2

• -1/2

What interval is f(x) < 0 ?

• (1, 3)

• (-∞, -2) U (-0.3, 2.2)

• (-2, 1)

• (-1, 1)

Where is the average rate of change negative?

• (-∞, -1.5) U (2, 4)

• (0.3, 3)

• (-1, 4)

• (-3, 5)

What is the average rate of change of [1, 5]?

• -0.65

• -0.75

• 3.75

• 4

On a number line, where would you shade for the solution of x^2 + 3x < 10?

• Shade the interval (-5, 2) on the number line.

• Shade the interval (-10, -5) on the number line.

• Shade the interval (-3, 0) on the number line.

• Shade the interval (2, 5) on the number line.