1. Graph Exponential Growth Functions 4.4 (M2) 4.4-4.5 Quiz: Friday Computer Lab (C28): Monday **You need graph paper**

2. Vocabulary An exponential function has the form y = ab x, where a ≠ 0 and the base b is a positive number other than 1. If a > 0 and b > 1, the function y = ab x is an exponential growth function – and b is called the growth factor.

3. Vocabulary An asymptote is a line that a graph approaches more and more closely (but will never actually touch!) The end behavior of a function’s graph is the behavior of the graph as x approaches positive or negative infinity.

4. Make a table of values.STEP 1 STEP 2 Plot the points from the table. Graph y = 2 x. Example 1:

5. EXAMPLE 2 Graph the function. SOLUTION Plot and (1, 2).Then, from left to right, draw a curve that begins just above the x -axis, passes through the two points, and moves up to the right. 0, 1 2 a.

6. EXAMPLE 2 Cont’d Graph the function. b. y = – 5 2 x Plot (0, –1) and. Then,from left to right, draw a curve that begins just below the x -axis, passes through the two points,and moves down to the right. b.b. 1, – 5 2 SOLUTION

7. Graph State the domain and range. SOLUTION Example 3 Begin by sketching the graph y = 4 ● 2 x Then translate the graph: y = 4 ● 2 x – 1 – 3

8. y = 4  2 x

9. Example 3 Cont’d Domain? Range? Asymptote?

10. Your Turn Graph each function below. State the Domain, range, and asymptote. y = 5 x f(x) = 1/3 ● 4 x y = 2 x + 1 – 1

11. Your Turn: Answers Domain: all real #s Range: y > 0 Asym.: y = 0 Domain: all real #s Range: y > -1 Asym.: y = -1

12. Practice Problems Out of your purple (M2) book Pg. 122 #1-17