Answer:
B
Step-by-step explanation:
1) Look at the y-intercepts.
The y-intercepts on both equations are the same: 5. That means both equations touch the y-axis at (0,5).
That means we can rule out both A & C.
2) Calculate the rate of change (a.k.a. slope) of f(x).
To do this, we must use two points to find the change of y over the change of x. From the graph, we can use the points (1,2) and (2,-1).
Δy / Δx = [tex]\frac{-1 - (2)}{2-1} = \frac{-3}{1} = -3[/tex]
*The little triangles are the Greek symbol delta. They mean change in...*
That means that the slope of f(x) is -3.
3) Figure out the rate of change (a.k.a. slope) of g(x).
To do this, all we have to do is look at the equation. It is written in y = mx + b format where m = slope and b = y-intercept. That means the slope is 5 as in place of "m" there is a 5.
4) The Answer
The answer is B because 5 [the rate of change for g(x)] is greater than -3 [the rate of change for f(x)].
