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marishachu [46]
3 years ago
11

Given f(x) = 2x2 - 4, find the average rate of change from x1 = -2 to x2 = 4.

Mathematics
1 answer:
Oduvanchick [21]3 years ago
4 0

Answer:

The average rate of change = 4

Step-by-step explanation:

Given the function

f\left(x\right)\:=\:2x^2\:-\:4

x₁=-2, x₂=4

f(x₁) = f(-2) = 2x²-4 = 2(-2)²-4 = 8-4 = 4

f(x₂) = f(4) = 2x²-4 = 2(4)²-4 = 32-4 = 28

The average rate of change = f(x₂) - f(x₁) / x₂ - x₁

                                                = (28-4)/(4-(-2))

                                                = 24/6

                                                = 4

Thus, the average rate of change = 4

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<h3>How to calculate the percentage?</h3>

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This is the correct answer for me

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