Final answer:
The slope of function f(x) is 6, which is steeper than the slope of g(x), which is 2. The y-intercept of g(x) is 6, which is greater than the y-intercept of f(x), which is -6.
Step-by-step explanation:
To compare the slope of the two functions f(x) and g(x), we can use the given points for f(x) to determine its slope and compare it to the slope of g(x), which is explicitly given in the equation. The slope of a line is calculated by finding the change in y over the change in x (Δy/Δx). For f(x), using the points (-1,-12) and (1,0), we get a slope of (0 - (-12))/(1 - (-1)) = 12/2 = 6. Therefore, the slope of f(x) is 6. Comparing this to the slope of g(x), which is 2, we see that f(x) has a steeper slope than g(x).
The y-intercept of a function is the point where the line intersects the y-axis. We can see the y-intercept of g(x) directly from its equation, which is 6. Since the y-intercept of f(x) is given as (0,-6), we can conclude that g(x) has a greater y-intercept than f(x), because 6 is greater than -6.