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What is the range of the function f(x) = 2x^2 + 2 over the interval of -2 ≤ x < 5?

User Baseten
by
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1 Answer

0 votes

Answer:

10 ≤ f(x) < 52

Explanation:

the range is the values of f(x) given by the domain - 2 ≤ x < 5

substitute the end points of the interval into f(x)

f(- 2) = 2(- 2)² + 2 = 2(4) + 2 = 8 + 2 = 10

f(5) = 2(5)² + 2 = 2(25) + 2 = 50 + 2 = 52

then range is 10 ≤ f(x) < 52

User Deepak Talape
by
5.3k points
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