Draw a graph given the following piecewise requirements

angela107 · May 29, 2020

Text listing properties for sketching y = f(x): increasing for x < -2 and -2 < x < 4; decreasing for x > 4; f'(-2) = 0 and f'(4) = 0; concave down for x < -2 and 3 < x < 9; concave up for -2 < x < 3 and x > 9.

Hand-drawn graph on graph paper: a curve with x-axis labelled -2 and 4, rising from lower left through the origin, peaking near x = 4, then falling to the right with dashed horizontal arrows marking a line.

Mark44 · May 29, 2020

What do you think? Does your graph satisfy all five conditions?

angela107 · May 29, 2020

Mark44 said:

What do you think? Does your graph satisfy all five conditions?

I believe it does, yes.

Mark44 · May 29, 2020

I agree. In the future, instead of just asking whether the work is correct, see if you can verify it for yourself, or at least let us know that you've done that.

SammyS · May 29, 2020

angela107 said:

I believe it does, yes.

The graph looks to be concave up for x greater than approximately 7 .

Draw a graph given the following piecewise requirements

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