Question

For the linear function f (x )= 7x - 4 find the range of f(x) at x = -2, 0, and 2.

Answer 1

The range is the resulting y-values we get after substituting all the possible x-values.

To calculate the range, we need to substitute the given x-values into the function.

The function is given to be:

`f(x)=7x-4`

At x = -2:

`\begin{gathered} f(x)=7(-2)-4 \\ f(x)=-14-4 \\ f(x)=-18 \end{gathered}`

At x = 0:

`\begin{gathered} f(x)=7(0)-4 \\ f(x)=-4 \end{gathered}`

At x = 2:

`\begin{gathered} f(x)=7(2)-4 \\ f(x)=14-4 \\ f(x)=10 \end{gathered}`

Therefore, the range of the function at the given points is:

`f(x)=\mleft\lbrace-18,-4,10\mright\rbrace`