Answer:
[tex]f(x)=\frac{1}{2}x-1[/tex]
Step-by-step explanation:
The equation of the graph can be obtained using the formula:
[tex]\frac{x}{x-intercept}+\frac{y}{y-intercept}=1[/tex]
From the graph, the y-intercept is -1 and the x-intercept is 2
We substitute these values to get:
[tex]\frac{x}{2}+\frac{y}{-1}=1[/tex]
[tex]\frac{x}{2}-y=1[/tex]
This implies that;
[tex]\frac{x}{2}-1=y[/tex]
Or
[tex]y=\frac{1}{2}x-1[/tex]
The function notation is
[tex]f(x)=\frac{1}{2}x-1[/tex]
