Question

Which interval for the graphed function contains the local maximum?

[–1, 0]
[1, 2]
[2, 3]
[3, 4]

Please explain how to get the local maximum and minimum.

Answer 1

Step-by-step explanation:

Which interval for the graphed function contains the local maximum? [–3, –2] [–2, 0] [0, 2] [2, 4]

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Answer 2

Between the interval [1,2] the graphed function contains the local maxima.

Step-by-step explanation:

See the graph attached.

A function has a local maxima when the slope of the tangent to the curve changes from positive to negative sign.

And a function has a local minima when the slope of the tangent to the curve changes from negative to positive sign.

Here, in our case between the zeros x = 1 and x = 2, of the graphed function, the slope of the tangent changes from positive value to negative value and hence between the interval [1,2] the graphed function contains the local maxima. (Answer)