Question

What is the range of the given function?

Answer 1

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$\huge\underline{\sf{\red{Problem:}}}$

• What is the range of the given function?
• (–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)

$\huge\underline{\sf{\red{Choices:}}}$

• A {x | x = –5, –4, –2, 0, 2}

• B {y | y = –9, –3, 0, 5, 7}

• C {x | x = –9,–5,–4,–3,–2,0,2,5,7}

• D {y | y = –9,–5,–4,–3,–2,0,2,5,7}

$\huge\underline{\sf{\red{Answer:}}}$

$\quad \quad \underline{ \boxed{\sf{ \red{ B.)\: {y | y = –9, –3, 0, 5, 7} }} }}$

What is range of a function?

• The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain.

The definition means:

• The range is the resulting y-values we get after substituting all the possible x-values.

How to find the range?

• The range of a function is the spread of possible y-values (minimum y-value to maximum y-value)Substitute different x-values into the expression for y to see what is happening. (Ask yourself: Is y always positive? Always negative? Or maybe not equal to certain values?)Make sure you look for minimum and maximum values of y.

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