Question

Below are two different functions, f(x) and g(x). What can be determined about their y-intercepts? F(x)=-2x-1

Answer 1

The function g(x) has a higher y intercept

Answer 2

The correct statement is:

• The function f(x) has a higher y-intercept.

Explanation:

We know that the general form of a slope intercept form of a line is given by:

`y=mx+c`

where m is the slope of the line and c is the y-intercept of a line.

The function f(x) is given by:

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

Hence, on comparing the function to the slope-intercept form of a line we get

The y-intercept of function f(x) is: -1

Also, the table for the function g(x) is given by:

x g(x)

2 2

4 6

6 10

The function g(x) satisfies the equation:

`g(x)=2x-2`

The y-intercept of the function g(x) is: -2

Since we know that:

-1 > -2

This means that the y-intercept of the function f(x) is higher than the y-intercept of the function g(x).