Which expression below gives the average rate of change of the function h(x) = 4^x+2 + 7 on the interval –3 ≤ x ≤ 5?
![Which expression below gives the average rate of change of the function hx 4x2 7 on the interval 3 x 5 class=](https://us-static.z-dn.net/files/d49/9054f69c44b71937c613c5f0158410e3.png)
Answer:
4^(5+2) + 7 - (4^(-3+2) +7)
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5 +3
Step-by-step explanation:
The average rate of change is given by
h(5) - h(-3)
---------------
5 - -3
h(5) - h(-3)
---------------
5 +3
h(5) = 4^(5+2) + 7
h(-3) = 4^(-3+2) +7
4^(5+2) + 7 - (4^(-3+2) +7)
---------------
5 +3