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10) If f(x) = 7 – 4x and the domain is {-2,0, 3/4}, find the range.

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For this case we have the following function given:


f(x)=7-4x

We also know that the domain is given by:


D=\left\lbrace -2,0,(3)/(4)\right\rbrace

and in order to find the range we need to use the domain given:


f(-2)=7-4(-2)=7+8=15
f(0)=7-(4\cdot0)=7
f((3)/(4))=7-4\cdot(3)/(4)=7-3=4

So then the range for this case would be given by:


R=\left\lbrace 15,7,4\right\rbrace

User Wynemo
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