Plotting exponential function

Anthonyk2013

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Sep 15, 2013
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Wondering if my coordinates are correct, finding it hard to graph.
 

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For other viewers, the text in the sideways graphic appears to be as follows:

i) Plot a graph of y = 4e-2x over the range x = 0 to x = 3 in intervals of 0.5.
ii) Estimate the area under the curve plotted in (i) using the Trapezoidal Rule with six intervals.

i) x = 0, y = 4
x = 0.5, y = 1.47
x = 1, y = 0.54
x = 1.5, y = 0.2
x = 2, y = 0.07
x = 2.5, y = 0.26
x = 3, y = 0.009
Note to poster: Something looks wrong about the sequence of y-values for x = 2, 2.5, 3. Is the y-value for x = 2.5 perhaps supposed to be something like 0.06? Or 0.006? ;)
 
For other viewers, the text in the sideways graphic appears to be as follows:


Note to poster: Something looks wrong about the sequence of y-values for x = 2, 2.5, 3. Is the y-value for x = 2.5 perhaps supposed to be something like 0.06? Or 0.006? ;)

You have errors. Come to an agreement that you will round your function values to the
nearest two decimal places, because you will be plotting them on paper I imagine.

i) x = 0, y = 4
x = 0.5, y = 1.47
x = 1, y = 0.54
x = 1.5, y = 0.2
x = 2, y = 0.07
x = 2.5, y = 0.26 \(\displaystyle \ \ \ \ \ \)y actually equals 0.0269...
x = 3, y = 0.009 \(\displaystyle \ \ \ \ \ \)y actually equals 0.0099...

The y-value that the OP has for x = 2 rounded to two decimal places is not incorrect.

Change it to:

x = 2.5, y = 0.03
x = 3, y = 0.01
 
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