Question

The table below represents a linear function f(x) and the equation represents a function g(x):

x f(x)
−1 −9
0 −1
1 7
g(x)

g(x) = 3x − 2


Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
HELP ME PLSSSSS I WILL GIVE YOU 100 POINTS!!!!!!!

Answer 1

Explanation:

First we find the slope of f(x):

When x increases by 1, f(x) increases by 8. Slope of f(x) = 8/1 = 8.

Slope of g(x) = Coefficient of x = 3.

Therefore the slope of f(x) is greater than the slope of g(x).

When x = 0, f(x) = -1 (given ii the table) Therefore the y-intercept of f(x) is -1.

Y-intercept of g(x) = Constant term = -2.

Since -1 > -2, f(x) have a greater y-intercept.