Question

What is the range of the given function?

Answer 1

It is found that the range of the given function will be y ≤ 9. Then option B is correct.

What is the domain and range of the function?

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

The given function is f(x)

f(x) = {x + 7,     if x>2

        {-2x + 13    if x ≤ 2

Therefore, when x is less than 2, we have the output as

x + 7 = 9

When x is equal to or greater than 2, we have the output as

-2x + 13 = -2(2) + 13 = 9

Hence, we can conclude that the range of the given function will be y ≤ 9.

Then option B is correct.

Learn more about the domain and range of the function:

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