Day 2  Targets 8A, 8B

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Agenda:• Unit 7 Questions and Test• Notes: Targets 8A, 8B• Quiz Review• Tomorrow: Quiz on 8A/8B

Continue Unit 8

Unit 8: Exponential FunctionsMs. Dorsch

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Unit 7:Exponential Expressions

Questions?

Turn in HW and any Extra Credit!

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Unit 8:Exponential Functions

Number of Targets: 4

Homework Points Possible: 6 assignments, 12 points total

Quiz Points Possible: ~31 points (1 quiz on 8A-8B)

Test Points Possible: ~43 points

Extra Credit Opportunities: Unit 8 Target Sheet

Day 2  Targets 8A, 8B

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Evaluate each of the following exponential expressions.

Target 8A: GraphingExponential Functions

1) 2) 3)

4) 5) 6)

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Day 2  Targets 8A, 8B

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Day 2  Targets 8A, 8B

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On your graphing calculator, look at the graph of:

y = 2x

Discuss with the person next to you.

• What do you notice about each end of the graph?• Can you predict anything about possible x- and y- intercepts?• Do you think this graph is linear?

Target 8A: GraphingExponential Functions

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Target 8A: GraphingExponential Functions

1) Graph the following function. y = 2x

Domain: Range:

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Target 8A: GraphingExponential Functions

2) Graph the following function. y = 3x

Domain: Range:

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Standard form of an exponential function:

y = abx where a≠0, b>0 and b≠1

These are non-linear functions. Why?

Target 8A: GraphingExponential Functions

They do not have a constant rate of change where x and y change by adding/subtracting the same amount (slope).

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Target 8A: GraphingExponential Functions

3) Graph the following function.

Domain: Range:

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Target 8A: GraphingExponential Functions

4) Graph the following function. y = -(2)x

Domain: Range:

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Target 8A: GraphingExponential Functions

5) Graph the following function.

Domain: Range:

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HW : 8A Worksheet***You will need to do this on graph paper!

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Brain Br

eak!

I Bet You Can't Do This!

Put your arm out in front of you with your index finger extended. Try to spin your wrist slowly in

one direction and your index finger in the opposite direction.

NEXT

While spinning your right foot in a clockwise direction, take your right hand index finger and

draw the outline of a 6 in the air.

Day 2  Targets 8A, 8B

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Sketch the function given. Compare it (using words) to the given graph of f(x)= 2x.

Target 8B: DescribingExponential Functions

1) f(x) = -2x

Day 2  Targets 8A, 8B

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Sketch the function given. Compare it (using words) to the given graph of f(x)= 2x.

Target 8B: DescribingExponential Functions

2) f(x) = 3x

Day 2  Targets 8A, 8B

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Sketch the function given. Compare it (using words) to the given graph of f(x)= 2x.

Target 8B: DescribingExponential Functions

3) f(x) = 4x

Day 2  Targets 8A, 8B

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Compare the graphs for examples 2 and 3. What do you notice?

Target 8B: DescribingExponential Functions

Day 2  Targets 8A, 8B

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Sketch the function given. Compare it (using words) to the given graph of f(x)= 2x.

Target 8B: DescribingExponential Functions

4)

Day 2  Targets 8A, 8B

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Sketch the function given. Compare it (using words) to the given graph of f(x)= 2x.

Target 8B: DescribingExponential Functions

5)

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Compare the graphs for examples 4 and 5. What do you notice?

Target 8B: DescribingExponential Functions

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Brain Break!

Ear and Nose Switch

Day 2  Targets 8A, 8B

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Sketch the function given. Compare it (using words) to the given graph of f(x)= 2x.

Target 8B: DescribingExponential Functions

6)

What can you predict mighthappen if a=4?

Day 2  Targets 8A, 8B

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Sketch the function given. Compare it (using words) to the given graph of f(x)= 2x.

Target 8B: DescribingExponential Functions

7)

What can you predict mighthappen if a=1/4?

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To summarize:• You will be given a function to compare against (i.e. y=2x).• It helps to evaluate what is occuring at x=0 and x=1.

• a value: -a causes a flip over the x-axis; |a|>1 vertical stretch, |a|1 "growth"/increases rapidly the larger b is 0

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Sketch the function given. Compare it to the graph of f(x)= 2x.

Target 8B: DescribingExponential Functions

8)

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Sketch the function given. Compare it to the graph of f(x)= 2x.

Target 8B: DescribingExponential Functions

9)

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HW : Worksheet!

HW : 8A-8B Quiz Review!

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Day 2  Targets 8A, 8B

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Be Ready:• - Due• Quiz on 8A-8B• Targets 8C-8D• Test Review

For Tomorrow...

Attachments

6A Worksheet Ans.pdf

6B HW Key.pdf

SMART Notebook

SMART Notebook

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