Question

What is the range of the function f(x)= -6x^2 +5

Answer 1

Given:

`f(x)=-6x^2+5`

If x=-2,

`\begin{gathered} f(-2)=-6(-2)^2+5 \\ f(-2)=-6(4)+5 \\ f(-2)=-24+5 \\ f(-2)=-19 \end{gathered}`

If x=0,

`\begin{gathered} f(0)=-6(0)^2+5 \\ f(0)=0+5 \\ f(0)=5 \end{gathered}`

Range of the function is:

`\mleft\lbrace y|y\in\mathfrak{\Re },y\le5\mright\rbrace`