What is the range if f(x) = 3x - 9 and domain: -4,-3,0,1,8?

waldo7852p 2022-09-16 Answered
What is the range if f(x) = 3x - 9 and domain: -4,-3,0,1,8?
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Answers (2)

Ronan Rollins
Answered 2022-09-17 Author has 9 answers
Explanation:
to obtain the range substitute the given values in the domain into f(x)
f(-4)=-12-9=-21
f(-3)=-9-9=-18
f(0)=-9
f(1)=3-9=-6
f(8)=24-9=15
range is y { 21 , 18 , 9 , 6 , 15 }

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Diana Suarez
Answered 2022-09-18 Author has 1 answers
Here we have a lineal function f(x)=3x-9 defined for x={-4,-3,0,1,8}
The slope of f ( x ) = 3 f ( x ) is linear increasing.
Since f(x) is linear increasing, its minimum and maximum values will be at the minimum and maximum values in its domain.
f m i n = f ( 4 ) = 21
and f m a x = f ( 8 ) = 15
The other values of f(x) are:
f(-3)=-18
f(0)=-9
f(1)=-6
Hence the range of f(x) is {-21, -18, -9, -6, +15}

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