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1. Sketch 3 8 32
2. Sketch 3 8 3 X 2
3. Sketch 3 8 3 =

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Graphing Exponential Functions:
Step-by-Step Instructions (page 2 of 4)

Sections: Introductory concepts, Step-by-step graphing instructions, Worked examples

To graph an exponential, you need to plot a few points, and then connect the dots and draw the graph, using what you know of exponential behavior:

• Graph y = 3^x

Since 3^x grows so quickly, I will not be able to find many reasonably-graphable points on the right-hand side of the graph. And 3^x will very quickly get very small on the left-hand side of the graph, so I probably won't find many useful plot-points there, either. I will find a few plot-points in the middle, close to the origin, and then draw the graph from there.

Here is my T-chart:	<= way too small to plot <= maybe too small <= reasonable <= fine <= fine <= getting kind of big <= way too big
While I have seven plot-points in my T-chart, only as many as five are reasonable to plot. So I plot them:
I'd better not try to continue the line as a quadratic: Copyright © Elizabeth Stapel 2002-2011 All Rights Reserved	incorrect graph
..or as a straight-ish or only vaguely curved line:
The exponential, remember, will get (and stay) very close to zero on the left-hand side, so I will draw the graph 'skinnying along' the top of the x-axis on the left-hand side:	drawing the left-hand side
Red giant universe 4. Omnigraffle pro 7 13 download free. And on the right-hand side, the exponential will get really big, so I'll draw it shooting up through the top of my graph:
Then the exponential graphs as:	solution

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Sketch 3 8 32

Sketch 3 8 3 X 2

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Sketch 3 8 3 =

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