Lecture 4: Creating New Functions from Old Ones
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Assignment
1.4 Parametric Curves 4n+1, n=0,..., 6 and
26
1.5 Exponential Functions 1-3, 14-16, 21-23
Brief review of the lecture
What's a polynomial? Is 10x a polynomial? Why or why not.
If F and G are two given functions we can construct their
sum, their product, their difference, or their quotient. How
do we find the domain of such a function? Its just the intersection
of the domains of F and G.
How do a,b,c, and d effect the graph of the function f if
y=af(b(x+c)) +d? Note that this is just a composition of the form
gofoh where g and h are linear functions. We'll talk more about
composition of functions next time.