Question

A function f is defined by the table shown below. Which of the following is the average rate of change of f over the interval 4 < x < 12?​

Answer 1

Answer:

Average rate of change=\displaystyle \frac{\text{Change in output}}{\text{Change in input}}

Change in input

Change in output

=\displaystyle \frac{\Delta y}{\Delta x}

Δx

Δy

=\displaystyle \frac{{y}_{2}-{y}_{1}}{{x}_{2}-{x}_{1}}

x

2

−x

1

y

2

−y

1

=\displaystyle \frac{f\left({x}_{2}\right)-f\left({x}_{1}\right)}{{x}_{2}-{x}_{1}}

x

2

−x

1

f(x

2

)−f(x

1

)