Answer: [tex]f(2)=-1[/tex]
Step-by-step explanation:
The Linear Function given in the exercise is:
[tex]f(x) =- 2x + 3[/tex]
By definition, the input values are the x-values and the output values are the y-values.
In this case, since you need to find [tex]f(2)[/tex], you need to find the output value for the input value 2.
So you can folllow these steps:
1. You must substitute [tex]x=2[/tex] into the function f(x):
[tex]f(2) =- 2(2) + 3[/tex]
2. Finally, you need to evaluate in order to find the value of [tex]f(2)[/tex]. This is:
[tex]f(2) =-4 +3\\\\f(2)=-1[/tex]