Question

Two students in your class, Wilson and Alexis, are disputing a function. Wilson says that for the function, between x = -1 and x = 1, the average rate of change is 0. Alexis 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 Wilson and Alexis can both be correct, using complete sentences. @phi

Answer 1

someone please help me!

Answer 2

will give medal

Answer 3

hi

Answer 4

hello

Answer 5

can you help me with this one

Answer 6

will try @kaity2017

Answer 7

rate of change = gradient of the line
if the average rate of change = 0 between 2 points, then it fluctuates at a constant rate from +ve to negative or from -ve to positive... does this make sense so far?

Answer 8

yes

Answer 9

k, well this graph, it goes up on a steep gradient
to a turning point (in this case a point of reflection)
then down on an equal but negative gradient... so over that equal distance the average gradient is = 0

i dont really know how to explain alexis's point, other than that it rules out a graph like the below:

Answer 10

thank you! @Jack1

Answer 11

np