Question

The graph shows the function f(x).

What is the function's average rate of change from x=−1

to x = 2?



Enter your answer, as a simplified fraction, in the boxes.

Answer 1

is there a graph

Explanation:

Answer 2

Need the graph for final answer. Use the values of the graph to substitute into the slope formula and simplify.

Explanation:

The average rate of change is the amount over an interval the outputs change in a ratio to the input change. In a linear function, this is constant and called slope. In all other function, it is called the average rate of change because the rate of change varies over the interval. We use the same formula for the average rate of change as we do slope. First we need both the input and output values of the function over the interval.

Slope:
`m=(y_2-y_1)/(x_2-x_1)`

Substitute the values for your function into the slope formula and simplify.