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:
[tex]f(x)=7x-4[/tex]At x = -2:
[tex]\begin{gathered} f(x)=7(-2)-4 \\ f(x)=-14-4 \\ f(x)=-18 \end{gathered}[/tex]At x = 0:
[tex]\begin{gathered} f(x)=7(0)-4 \\ f(x)=-4 \end{gathered}[/tex]At x = 2:
[tex]\begin{gathered} f(x)=7(2)-4 \\ f(x)=14-4 \\ f(x)=10 \end{gathered}[/tex]Therefore, the range of the function at the given points is:
[tex]f(x)=\mleft\lbrace-18,-4,10\mright\rbrace[/tex]