f(x) = x² - 5, For the function shown, what is the range of the function when the domain is {2, 4, 7}?

Solution:

Given, f(x) = x² - 5 ------- (1)

The domain is {2,4,7}

We have to find the range of the function.

To find the range of the function,

Put x = 2 in (1)

f(2) = (2)² - 5 

= 4 - 5 

f(2) = -1

Put x = 4 in (1)

f(4) = (4)² - 5 

= 16 - 5 

f(4) = 11

Put x = 7 in (1)

f(7) = (7)² - 5

= 49 - 5

f(7) = 44

Therefore, the range is {-1, 11, 44}.

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f(x) = x² - 5, For the function shown, what is the range of the function when the domain is {2, 4, 7}?

Summary:

For the function f(x) = x² - 5, the range is {-1, 11, 44} when the domain is {2, 4, 7}.