Rate of Change and Concavity (1.1-1.3)

h on the interval (-6, -3) is...

• increasing and concave up

• increasing and concave down

• decreasing and concave up

• decreasing and concave down

The rate of change of h on the interval (1, 3) is...

• positive and increasing

• positive and decreasing

• negative and increasing

• negative and decreasing

Let A, B, C, D, and E represent the x-coordinates at those points. On which of the following intervals is the rate of change of f positive and decreasing?

• A to B

• B to C

• C to D

• D to E

Determine the average rate of change over the interval [-2, 4].

Let A, B, C, D, and E represent the x-coordinates at those points. On which of the following intervals is f negative and decreasing?

• A to B

• B to C

• C to D

• D to E

Which of the following statements is true about f on the interval D to E?

• The rate of change of h is negative because the graph of h is negative.

• The rate of change of h is negative because the graph of h is concave down.

• The rate of change of h is decreasing because the graph of h is negative.

• The rate of change of h is decreasing because the graph of h is concave down.

Is k(x) linear, quadratic, or neither?

• linear

• quadratic

• neither

Is h(x) concave up, concave down, or neither?

• concave up

• concave down

• neither

For the scenario, do the two variables have a positive rate of change or a negative rate of change?

"The amount of time an ice cube sits on a kitchen counter and the temperature of the ice cube."

• zero rate of change

• positive rate of change

• negative rate of change

• not possible

On what interval(s) is the graph of k concave down?