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?
1 answer:
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
)
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