Question

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

x f(x)
−1 −3
0 0
1 3


g(x)

g(x) = 7x + 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)

Answer 1

A. The slope of g(x) is greater. Because g(x) is written in slope intercept form (mx+b), we know that the slope is simply the m value, which, in this case, is 7. For f(x) we know that the slope is 3 because for each increment of x, y increases by 3. 7>3
B. g(x) has a greater y intercept. Because g(x) is written in slope intercept form, we know that the intercept is simply the b value, which is 2 in this case. For f(x), we know that slope interceot is the value of y when x=0. When x=0 in this case, y=0. 2>0