Question

Find the equation of the graph in function notation. Name your function "f" and use x as your variable.

Answer 1

Answer:

$f(x)=\frac{1}{2}x-1$

Step-by-step explanation:

The equation of the graph can be obtained using the formula:

$\frac{x}{x-intercept}+\frac{y}{y-intercept}=1$

From the graph, the y-intercept is -1 and the x-intercept is 2

We substitute these values to get:

$\frac{x}{2}+\frac{y}{-1}=1$

$\frac{x}{2}-y=1$

This implies that;

$\frac{x}{2}-1=y$

Or

$y=\frac{1}{2}x-1$

The function notation is

$f(x)=\frac{1}{2}x-1$