Question

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

X - f(x)
-1 - -6
0 - -3
1 - 0
Part A: Write a sentence to compare the slope of the two functions and show the steps you use to determine the slope of f(x) and g(x).
Part B: Which function has a greater y-intercept? Justify your answer.

Answer 1

A: Looking at the last two rows of the table of f(x), the slope is simply (3-0)/(1-0) = 3, while the slope of g(x) is the coefficient of the variable x, which is 7.

B. y-int is the y value when x = 0. f(x) has a y-int of 0, which g(x) is 2. The latter has a greater y-int.