Quiz Review 1.1-1.3

The graph of a function f is shown in the figure above and consists of three linear segments. Use the graph f to answer the following. a) On what open intervals is f increasing?

(a)  

The graph of a function g is given above for the interval -6 ≤ x ≤ 6. Use the graph g to answer the following.

a) On what intervals is g decreasing?

(a)  

The graph of a function h is shown in the figure above.

Use the graph h to answer the following.

a) On what intervals is the graph of h concave up?

(a)  

The graph of a function h is shown in the figure above.

Use the graph h to answer the following.

b) On what intervals is the graph of h concave down?

(a)  

The graph of the function f is shown in the figure above. The extrema for f are labeled where 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?

• the interval from A to B

• the interval from B to C

• the interval from C to D

• the interval from D to E

The graph of the function f is shown in the figure above. The extrema for f are labeled where 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 negative and decreasing?

• the interval from A to B

• the interval from B to C

• the interval from C to D

• the interval from D to E

Find the average rate of change over the interval [-4, 4] using the given table.

(a)  

For the following function, find the average rate of change over the interval [-2, 4] using the given graph.

(a)  

The table shows values for a function f at selected values of X. Which of the following claim and explanation statements best fit these data?

• (A) f is best modeled by a linear function because the rate of change over consecutive equal-length input-value intervals is constant.

• (B) f is best modeled by a linear function because the rate of change over consecutive equal-length input-value intervals is linear.

• (C) f is best modeled by a quadratic function because the rate of change over consecutive equal-length input-value intervals is constant.

• (D) f is best modeled by a quadratic function because the rate of change over consecutive equal-length input-value intervals is linear.