Answer:
A) The slopes of the two functions are the same.
B) g(x) has the greater y-intercept
Explanation:
Part A - Slopes
Function f(x)
Choose two ordered pairs from the given table:
Function g(x)
g(x) = 4x - 3
Slope-intercept form of a linear equation: y = mx + b
(where m is the slope and b is the y-intercept)
Therefore, the slope of g(x) is 4
The slopes of the two functions are the same.
Part B - y-intercepts
Function f(x)
Substitute one of the ordered pairs and the found slope from part A into the point-slope form of a linear equation to find the function f(x):
Therefore, the y-intercept of f(x) is -1
Function g(x)
The y-intercept of g(x) is 3
Therefore, g(x) has the greater y-intercept as 3 > -1