Answer:
Ralph and Bobby both are correct about slope. Because slope for both is 0.
Step-by-step explanation:
We are given a function that has two values of x's between x = −1 and x = 1.
And the average rate of change between x=-1 and x=1 is 0.
We know that x=-1 and x=1 are the points on x-axis.
If we joint x=-1 and x=1 points, we would get a straight line horizontal line on x-axis.
And note, the slope of a horizontal line is 0 always.
So, according to Bobby the graph goes up through a turning point, and then back down that means the point (-1,0) gets horizontally shift by 2 unit at (1,0).
Therefore, rise/run = 0/2, that is also equal to 0.
Therefore, Ralph and Bobby both are correct about slope.
Because slope for both is 0.
