Question

Choose the graph of the function f(x) = 1/2x - 2.

Answer 1

should look like this:

Answer 2

Graph attached

Explanation:

Here we are given an equation as

`f(x) = (1)/(2)x - 2`

This equation is in slope intercept form. The coefficient of x represent the slope of the line and the constant term represent the y intercept of the line.

Coefficent of x =
`(1)/(2)`

Slope =
`(1)/(2)`

And also y intercept is constant term which is -2 in this case.

Y intercept = -2

Also , if we put f(x) = 0 in our equation we get

`0= (1)/(2)x - 2`

`2 = (1)/(2)x`

`x = 4`

Hence x intercept is (4,0)

Hence , our line will pass through (0,-2) and (4,0) also it will be making an angle with the positive direction of x axis , such that its tangent is
`(1)/(2)`