graph exponential growth functions 4.4 (m2) 4.4-4.5 quiz: friday computer lab (c28): monday **you...
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Graph Exponential Growth Functions
4.4 (M2)
4.4-4.5 Quiz: FridayComputer Lab (C28): Monday
**You need
graph paper**
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Vocabulary
• An exponential function has the form y = abx, where a ≠ 0 and the base b is a positive number other than 1.
• If a > 0 and b > 1, the function y = abx is an exponential growth function– and b is called the growth factor.
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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.
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Make a table of values.STEP 1
STEP 2 Plot the points from the table.
Graph y = 2x.
Example 1:
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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, 12
a.
1a. 4
2xy
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EXAMPLE 2 Cont’d
Graph the function.
b. y = – 52
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. 1, – 52
SOLUTION
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Graph State the domain and range.
SOLUTION
Example 314 2 3.xy
• Begin by sketching the graph y = 4 ● 2x
• Then translate the graph: y = 4 ● 2x – 1 – 3
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y = 4 2x
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Example 3 Cont’d
•Domain?
•Range?
•Asymptote?
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Your Turn
Graph each function below. State the
Domain, range, and asymptote.
• y = 5x
• f(x) = 1/3 ● 4x
• y = 2x + 1 – 1
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Your Turn: Answers
Domain: all real #sRange: y > 0Asym.: y = 0
Domain: all real #sRange: y > 0Asym.: y = 0
Domain: all real #sRange: y > -1Asym.: y = -1
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Practice Problems
• Out of your purple (M2) book
Pg. 122 #1-17