Question

The graph of a linear function h contains the points given in the table below.

Find h-1.

x y
-2 4
-1 2
1 -2
2 -4

Answer 1

h-1(x)= -1/2x

Explanation:

y=-2x

inverse x=-2y

y= -1/2x

my explanation is confusing but hopefully my answer was clear. :)

Answer 2

The basic form of linear function is

y=ax+b

For finding the slope, use the slope formula.

(4-2)/(-2+1)= 2/-1=-2

We first found a which is -2.

Then insert any point to find the value of b. In this case, I will insert (1,-2).

-2=-2+b

b=-2+2=0

The linear graph is y=-2x