Answer:
f(-4) = 4
Step-by-step explanation:
Let the equation of the function is,
f(x) = mx + b
where m = slope of the line
b = y-intercept of the line
From the graph attached,
Slope = [tex]\frac{\text{Rise}}{\text{Run}}[/tex] = [tex]\frac{-2}{4}[/tex]
Slope 'm' = [tex]-\frac{1}{2}[/tex]
y-intercept 'b' = 2
Therefore, function will be,
f(x) = [tex]-\frac{1}{2}x+2[/tex]
For x = -4,
f(-4) = [tex]-\frac{1}{2}(-4)+2[/tex]
= 2 + 2
= 4
Which is true from the graph.
