**Answer:**

Part A: The slope of the function f( x ) is one greater than the slope of the function g( x ), f( x ) having 6 as the slope, and g( x ) having 5,

Part B: The function f( x ) has a greater y - intercept.

**Step-by-step explanation:**

I believe you meant the table to be the following,

x | f(x)

- 1 - 7

0 - 1

1 5 .... if that is so, we can determine the slope in two ways through the change in the y - axis over the change in the x - axis. f( x ), otherwise known to function of x, is also known as the y - value. Therefore, if f( x ) changes by an additional 6, and x changes by an additional 1, we know that the slope should be , or 6.

Now the function " " is in point - slope form, so we know that the slope is coefficient of x, in this case 5. We can compare the slopes by the following claim -

Part A Solution: **The slope of the function f( x ) is one greater than the slope of the function g( x ), f( x ) having 6 as the slope, and g( x ) having 5.**

To determine the y - intercept of the function f( x ), we can check the point ( 0, - 1 ). When x is 0, y is - 1, and therefore the y - intercept should be - 1. At the same time the function g( x ) has a y - intercept of - 4, as it is in the form g( x ) = m x + b, where b = y - intercept. Part B Solution: **Thus, the function f( x ) has a greater y - intercept.**