Answer:
[tex]f(x)=\frac{-x}{2} +1[/tex]
Step-by-step explanation:
According to the graph, we get the co-ordinates (0,1) and (2,0).
The general form of a linear function is f(x)=mx+c, where m is the slope and c is the y-intercept.
So, using the given co-ordinates (0,1) and (2,0), we will find the slope m.
i.e. [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
i.e. [tex]m=\frac{0-1}{2-0}[/tex]
i.e. [tex]m=\frac{-1}{2}[/tex]
Now, using slope [tex]m=\frac{-1}{2}[/tex] and point (0,1), we will find the value of c.
i.e. f(x) = mx + c
i.e. 1 = 0x + c
i.e. c = 1.
Hence, the equation of the graphed linear function is [tex]f(x)=\frac{-x}{2} +1[/tex].
