Evaluating and Interpreting Function Notation

To evaluate a function for a certain value of $x$ means that we substitute the given value for every instance of $x.$ Let's do this for the given function when $x=\text{-}2.$ When $x=\text{-}2,$ the function's value is $6.$ We will evaluate this function for $x=0$ and $x=3$ in the same way using the table below.

$x$	$\text{-}\frac{5}{2}x+1$	$f(x)$
$0$	$\text{-}\frac{5}{2}\cdot 0+1$	$1$
$3$	$\text{-}\frac{5}{2}\cdot 3+1$	$\text{-}6.5$