Question

A function f(x)f(x) is graphed on the coordinate plane.

Answer 1

Answer

-4x - 2

Explanation

To get the function needed, first calculate the slope of the graph.

slope = (change in y) / (change in x)

          = (2 - -2)/(-1 - 0)

          = 4/-1

           = -4

Now use one of the point (-1, 2) in the graph and a general point (x,y) to find the function.

-4 = (y - 2)/(x - -1)

-4(x + 1) = y - 2

-4x - 4 = y - 2

y = -4x - 4 + 2

  = -4x - 2

∴ f(x) =  -4x - 2