PLEASE HELP ME
Two students in your class, Tucker and Karly, are disputing a function. Tucker says that for the function, between x = -3 and x = 3, the average rate of change is 0. Karly says that for the function, between x = -3 and x = 3, the graph goes up through a turning point, and then back down. Explain how Tucker and Karly can both be correct, using complete sentences

Question

PLEASE HELP ME
Two students in your class, Tucker and Karly, are disputing a function. Tucker says that for the function, between x = -3 and x = 3, the average rate of change is 0. Karly says that for the function, between x = -3 and x = 3, the graph goes up through a turning point, and then back down. Explain how Tucker and Karly can both be correct, using complete sentences

anonymous · Answer

If it goes up x and down x, the average rate of change is zero

anonymous · Answer

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anonymous · Answer

@swagmaster47 thank you!

anonymous · Answer

No problem, welcome to openstudy by the way!

ageta · Answer

This function is a quadratic one and the graph is a parabola. Between (x = -3) and (x = +3) there is a max., and the axis of symmetry is at x = 0.
Tucker: f(-3) - f(3) = 0. Between x = -3 and x =3, the average change is zero. He is correct
Karly: The graph is a parabola goes up, reaches the max, then goes down, back to the same value. He is also correct.