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How to graph using this info and create a function ?

How to graph using this info and create a function ?-example-1
User Neil Foley
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1 Answer

20 votes
20 votes

The instantaneous rate of change at x = 2 is 0

at x = 3 is negative

0 <= x <= 4 is 0

a function has an instantaneous rate of change of 0 at a maximum or minimum

the instantaneous rate of change at x = 3 being negative means it goes down after the maximum or minimum meaning it is a maximum

the average rate of change on the interval is 0, so the function goes up and then down

these all sound like a parabola

y = -2(x - 2)^2 + 10 is a parabola that fits the requirements

How to graph using this info and create a function ?-example-1
User Blue Granny
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3.4k points