Warm-Up Graphs of Composite Functions

For each function in this task, assume the domain is the largest set of real numbers for which the function value is a real number.

Let f be the function defined by f(x)=x^2. Let g be the function defined by g(x)=√x.

- Sketch the graph of y=f(g(x)) and explain your reasoning.
- Sketch the graph of y=g(f(x)) and explain your reasoning.

Quiz Oct 21

Describe verbally how the function is transformed

1. 2f(x)

2. f(x)+2

3. f(x-2)

4. -f(x+3)

Functions and Transformations Quiz (postponed to tomorrow)

HW: Textbook 2.5, 2.6

Function Family Album

KhanAcademy Functions and Their Graphs (Recognizing Funcitons, Piecewise Functions) PRINT THE CHECKLIST FROM ENGRADE