Question

find f(4).
h(x)
answer

Explanation:

Step1: Identify the function's equation

The graph is a line. Let's find its slope and y - intercept. The y - intercept ($b$) is - 2 (since it crosses the y - axis at (0, - 2)). To find the slope ($m$), we can use two points. Let's take (0, - 2) and (2, 0). The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. So $m=\frac{0-(-2)}{2 - 0}=\frac{2}{2}=1$. So the equation of the line is $y = mx + b$, which is $y=x - 2$. Assuming $f(x)$ is the same as the function of the graph (maybe a typo, should be $h(x)$ or $f(x)$ is this line), so $f(x)=x - 2$.

Step2: Evaluate $f(4)$

Substitute $x = 4$ into the function $f(x)=x - 2$. So $f(4)=4-2 = 2$.

Answer:

2