Question

What is the vertex of each function's graph?

What is the average rate of change in function A between x = 2 and x = 3?

Answer 1

Function B increases at a faster rate. The rate of change for A is 1. The rate of change for B is 1.5.

In order to find the rate of change for each so that we can compare, we need to use the following formula.

Change = (y2 - y1)/(x2 - x1)

In which (x1, y1) is the original point (x = 2) and (x2, y2) is the second point (x = 3). So, let's use the equation for each set of points.

FUNCTION A

Change = (y2 - y1)/(x2 - x1)

Change = (0 - -1)/(3 - 2)

Change = 1/1

Change = 1

FUNCTION B

Change = (y2 - y1)/(x2 - x1)

Change = (0 - -1.5)/(3-2)

Change = 1.5/1

Change = 1.5