Lecture 4: Creating New Functions from Old Ones

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.

Lecture 4: Creating New Functions from Old Ones

Assignment

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.

[ Next Lecture | Math 1241 Index ]