Question

Find the range of the function /(x) = x2 - 6x if the domain is {-7, -2, 1}

Answer 1

`\lbrace91,16,-5\rbrace`

Step-by-step explanation

The domain of a function is the set of all possible inputs(x) for the function, and the range is the set of outputs

Step 1

find y

`\begin{gathered} f(x)=x^2-6x \\ f(x)=x(x-6) \\ y=x(x-6) \\ a)\text{ when x =-7} \\ f(-7)=-7(-7-6)=-7\cdot-13=91 \\ f(-2)=-2(-2-6)=-2\cdot-8=16 \\ f(1)=1(1-6)=1\cdot-5=-5 \\ \\ \end{gathered}`

then, the range is

`\lbrace91,16,-5\rbrace`