Answer:
Slope of f(x) is greater than slope of g(x)
g(x) has a greater y intercept
Explanation:
Given
f(x) table

Solving (a):
First, we determine the slope of f(x).
From the table, we take any two corresponding values of x and f(x).
Represent f(x) with y


The slope (m) is calculated as thus





Represent this with m1

Calculating the slope of g(x).
The general form of an equation is

Where m represents the slope.
We have that:

By comparing
with


Represent this with m2

Comparing both slope, we can say that:
f(x) has a greater than slope of g(x)
Another comparison is that:
Slope of f(x) is 3 times the slope of g(x)
Solving (b): Function with greater y intercept.
The general form of an equation is

Where b represents the y intercept.
First, we need to determine the equation of f(x) using:

Recall that, from the table of f(x):



So:




Solve for y


By comparing this with
, the y intercept of f(x) is -6
For g(x), we have:

By comparing this with
, the y intercept of g(x) is 6
Comparing the y intercepts of both functions, g(x) has a greater y intercept because
