Question

The function f(x) is shown in the graph. What is the equation for f(x)? f(x)=____

Answer 1

Answer:

$f(x)=\frac{3x}{7} -5$

Step-by-step explanation:

Hello

you can look for two points in the graph and find the slope

p1(0,-5) and p2(7,-2)

$m=\frac{y2-y1}{x2-x1} \\m=\frac{-2+5}{7-0} \\m=\frac{3}{7} \\m=\frac{3}{7}$

then , with the slope- point equation you are able to find f(x)  ,let´s use p1(0,-5)

$y-y_{0} =m(x-x_{0} )$

$y-(-5)=\frac{3}{7} (x-0)\\y=\frac{3x}{7} -5\\\\f(x)=\frac{3x}{7} -5$

Have a great day

Answer 2

I think it's f(x)=7/3x–5