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

Answer:

The correct statement is:

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

Step-by-step 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).