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November 11th, 2014, 11:58 AM   #1
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Question Graph Calculators (Graphs)

Can someone explain to me with really really really easy words and instructions how these graphs can be like this on a graph calculator?

Type in this and see yourself:

A: x^2
B: x^3
C: x^4

Graph Calculator: https://www.desmos.com/calculator
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November 11th, 2014, 12:23 PM   #2
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start in upper left corner, first box ...

type y= ... hit the x key ... hit the $\displaystyle a^2$ key ... you should now have $\displaystyle y = x^2$ graphed ... hit return

type y= ... hit the x key ... hit the $\displaystyle a^b$ key ... hit the 3 key ... you should now have $\displaystyle y = x^3$ graphed ... hit return

do the same for $\displaystyle y = x^4$, except hit the 4 key instead of the 3 key
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November 11th, 2014, 12:59 PM   #3
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I didn't ask for instructions of how to type into the calculator. That part is clear. I asked for an explaination of how the graphs are drawn like they are?

It seem so random. I want someone who can explain why it must be like that. Thanks.
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November 11th, 2014, 01:36 PM   #4
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Sorry I misunderstood.

Have you ever graphed functions on grid paper (by hand, no calculator) ?

Last edited by skeeter; November 11th, 2014 at 02:03 PM.
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November 12th, 2014, 01:25 PM   #5
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Yeah, that's exactly what we learned at math in school (Math 1C). So yeah, I have drawn lines using a table of values with x, y. Some graphs are clear and understandable and I understand the logic of them.

But some graphs, like these I wrote, seem to be drawn random? I don't get how it can be like that? I played a bit with graphs and realised that x^2 is like a curve. It comes down and back up. x^3 goes from where it is (-x, -y) and up to (x, y) and makes a turn where it hits the y axis.

Last edited by skipjack; November 13th, 2014 at 01:15 AM.
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November 12th, 2014, 02:07 PM   #6
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If you graph the even-powered basic polynomial functions, i.e. y = x^2, y = x^4, y = x^6, etc. you'll see how they are all related.

Do the same for the odd powers ... y = x^3, y = x^5, y = x^7

this should show you they are not just random curves.

Last edited by skipjack; November 13th, 2014 at 01:15 AM.
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