Lecture 4: Creating New Functions from Old Ones
Assignment
1.6 Inverse Functions and 1-9, 19-21, 27-30, 1/30
Logarithms 48-52
1.7 Models and Curve 1 1/30
Fitting
Chapter 1 review problems 1-4,7-8, 10-11, 1/30
and 7-11 on pages 92-3
Brief review of the lecture
What's a polynomial? Is 10^x ( this means 10 to the x power)
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=a f(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.