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Sketch the graph of
f( x ) = ex .
Solution
Let's build up first a table of values for this function.
x
-2
-1
0
1
2
f(x)
0.1353...
0.3679...
2.718...
7.389...
To obtain these evaluation (with the exception of x= 0 ) you will have to use a calculator. Actually, that is part of the point of this instance. Ensure that you can run your calculator & verify these numbers.
Following is a sketch of this graph.
Notice that this is an increasing graph as we have to expect since e = 2.718281827.... 1.
3x + 5 = 12
We can also indicate a strict mathematical/formula definition for absolute value. It is, It tells us to look at the sign of p & if it's positive we just drop the absolute
(f(x+h)-f(x))/h
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25/30=x/12
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