Question

The graph of a function g
is shown below.
Use the graph of the function to find its average rate of change from x=-3 to x=1
Simplify your answer as much as possible.

Answer 1

*This is a maths problem.

Answer:

-2

Explanation:

Average rate of change of the function from x = -3 to x = 1 can be calculated using the formula below:

$\frac{f(b) - f(a)}{b - a}$

Where,

$a = -3, f(a) = 1$ (from the graph, when x = -3, y = 1)

$b = 1, f(b) = -7$ (from the graph, when x = 1, y = -7)

Plug in the values into the formula:

$= \frac{-7 - 1}{1 -(-3)}$

$= \frac{-8}{4}$

$= -2$

Average rate of change from x = -3 to x = 1 is -2.