# Thread: Sketch the graph of a function

1. ## Sketch the graph of a function

Sketch the graph of a function that has a relative minimum at (0, -4), a relative minimum at (3, 1) and an absolute maximum at (4, 6).

I don't know if one of the relative minimums might be a typo, but thats what is written on the paper.

2. Originally Posted by Brazuca
Sketch the graph of a function that has a relative minimum at (0, -4), a relative minimum at (3, 1) and an absolute maximum at (4, 6).

I don't know if one of the relative minimums might be a typo, but thats what is written on the paper.
did you plot the points? relative minimum means it is the lowest point in the vicinity, so the curve moves up on both sides of the point. relative max means it is the highest point in the vicinity, so the curve moves down on both sides of the point.

3. Can you sketch the graph please? I don't need the points plotted; I just need to know how the appearance of the line will be like.

4. Originally Posted by Brazuca
Can you sketch the graph please? I don't need the points plotted; I just need to know how the appearance of the line will be like.
there are many different kinds of graphs you can draw that fit this description. that's why you have to draw your own. you remember what a parabola looks like right? an upward opening one has a minimum point and shapes like a u, and a downward opening one has a maximum point and shapes like a hill. just draw those shapes and then connect them with lines. draw little valleys at the min points and little hills at the max point and then connect them so there's one continuous curve

5. It makes no sense from what I learned in school if I try to graph it.
The points on the graph would end up making it look like a N or a U.

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Absolute Max: would be at the highest point of a upside down parabola on a graph.

Absolute Minimum: would be at the lowest point of a parabola on a graph.

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Relative Max: would be at the highest tip of a cubic function that resembles a N.

Relative Minimum: would be at the lowest tip of a cubic function that resembles a N.

-----------------------------------------------------------------

From what I understand if it has 2 relative minimum functions then it would have to be shaped like a W, but if it has to have an absolute maximum function then it would have to be shaped like an upside down parabola.

Can you please sketch the graph so I can see what it would look like?

6. Originally Posted by Brazuca
It makes no sense from what I learned in school if I try to graph it.
The points on the graph would end up making it look like a N or a U.

--------------------------------------------------

Absolute Max: would be at the highest point of a upside down parabola on a graph.

Absolute Minimum: would be at the lowest point of a parabola on a graph.

------------------------------------------------------------------------

Relative Max: would be at the highest tip of a cubic function that resembles a N.

Relative Minimum: would be at the lowest tip of a cubic function that resembles a N.

-----------------------------------------------------------------

From what I understand if it has 2 relative minimum functions then it would have to be shaped like a W, but if it has to have an absolute maximum function then it would have to be shaped like an upside down parabola.

Can you please sketch the graph so I can see what it would look like?
you described exactly what it should be like, how is it that you can't draw it? how about this?

7. Originally Posted by Jhevon
you described exactly what it should be like, how is it that you can't draw it? how about this?
Oh wow, I didn't know you could draw it like that, without having to label all of the points. Thanks

But, would the left side of the graph ever pass the Absolute Max?