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What is the range of the given function?

{(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}

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}

Respuesta :

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[tex]\huge\underline{\sf{\red{Problem:}}}[/tex]

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

[tex]\huge\underline{\sf{\red{Choices:}}}[/tex]

  • 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}

[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]

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

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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[tex]\sf{\red{✍︎ C.Rose❀}}[/tex]

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