Two students in your class, ralph and bobby, are disputing a function. ralph says that for the function, between x = −1 and x = 1, the average rate of change is 0. bobby says that for the function, between x = −1 and x = 1, the graph goes up through a turning point, and then back down. explain how ralph and bobby can both be correct, using complete sentences.

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.

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation:

6 spoons of sugar for every 21 cups of flour

step-by-step explanation: