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2. Find the range of the function below given adomain of -5.-1, 4).f(x) = x² - 2x - 7A. {-4, 1, 28}B. {-4,-7.28)C. (-22.-6. 1}D. {-22. -4,-1)

User Wvd
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1 Answer

6 votes
6 votes

The given function is expressed as

f(x) = x^2 - 2x - 7

The domain is the set of all possible input values or x values of the function

The range is the set of all possible output values or y values of the function

Given that the domain is (- 5, - 1, 4), we would substitute the values into the function. Thus,

For x = - 5

f(- 5) = (- 5)^2 - 2(- 5) - 7 = 25 + 10 - 7 = 28

For x = - 1,

f(- 1) = (- 1)^2 - 2(- 1) - 7 = 1 + 2 - 7 = - 4

For x = 4,

f(4) = (4)^2 - 2(4) - 7 = 16 - 8 - 7 = 1

The values in the range is written in ascending order. Thus, the range is (- 4, 1, 28)

Option A is correct

User Nicky Smits
by
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