exponential functions section 7.5. 7.5 topic focus i can… identify exponential growth and decay...

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EXPONENTIAL FUNCTIONS Section 7.5

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HOW DO I IDENTIFY GROWTH AND DECAY? Identify which functions represent GROWTH and which ones represent DECAY

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Page 1: EXPONENTIAL FUNCTIONS Section 7.5. 7.5 TOPIC FOCUS I can… Identify exponential growth and decay Graph exponential functions

EXPONENTIAL FUNCTIONSSection 7.5

Page 2: EXPONENTIAL FUNCTIONS Section 7.5. 7.5 TOPIC FOCUS I can… Identify exponential growth and decay Graph exponential functions

7.5 TOPIC FOCUSI can…

• Identify exponential growth and decay

• Graph exponential functions

Page 3: EXPONENTIAL FUNCTIONS Section 7.5. 7.5 TOPIC FOCUS I can… Identify exponential growth and decay Graph exponential functions

HOW DO I IDENTIFY GROWTH AND DECAY?

• Identify which functions represent GROWTH and which ones represent DECAY

𝒚=𝟓𝒙 𝒚=¿ 𝒚=(𝟏𝟑 )𝒙

𝒚=(𝟖𝟓 )𝒙

𝒚=𝟐 (𝟏.𝟎𝟏 )𝒙𝒚=𝟏𝟐 (𝟔 )

𝒙

Page 4: EXPONENTIAL FUNCTIONS Section 7.5. 7.5 TOPIC FOCUS I can… Identify exponential growth and decay Graph exponential functions

RATE YOUR LEVEL OF UNDERSTANDING

Got it!

Almost There!

HELP!!!

Page 5: EXPONENTIAL FUNCTIONS Section 7.5. 7.5 TOPIC FOCUS I can… Identify exponential growth and decay Graph exponential functions

MAIN QUESTION DISCOVERY

Domain: All Real Numbers

Range:

Page 6: EXPONENTIAL FUNCTIONS Section 7.5. 7.5 TOPIC FOCUS I can… Identify exponential growth and decay Graph exponential functions

HOW DO I GRAPH WITH AN EXPONENTIAL FUNCTION?

Example 1

Domain:

Range:

Page 7: EXPONENTIAL FUNCTIONS Section 7.5. 7.5 TOPIC FOCUS I can… Identify exponential growth and decay Graph exponential functions

HOW DO I GRAPH WITH AN EXPONENTIAL FUNCTION?

Example 2

Domain:

Range:

Page 8: EXPONENTIAL FUNCTIONS Section 7.5. 7.5 TOPIC FOCUS I can… Identify exponential growth and decay Graph exponential functions

HOW DO I GRAPH WITH AN EXPONENTIAL FUNCTION?

Example 3

Domain:

Range:

Page 9: EXPONENTIAL FUNCTIONS Section 7.5. 7.5 TOPIC FOCUS I can… Identify exponential growth and decay Graph exponential functions

HOW DO I GRAPH WITH AN EXPONENTIAL FUNCTION?

Example 4

Domain:

Range:

Page 10: EXPONENTIAL FUNCTIONS Section 7.5. 7.5 TOPIC FOCUS I can… Identify exponential growth and decay Graph exponential functions

RATE YOUR LEVEL OF UNDERSTANDING

Got it!

Almost There!

HELP!!!

Page 11: EXPONENTIAL FUNCTIONS Section 7.5. 7.5 TOPIC FOCUS I can… Identify exponential growth and decay Graph exponential functions

MAIN QUESTION DISCOVERY

Domain: All Real Numbers

Range:

Domain: All Real Numbers

Range:

Page 12: EXPONENTIAL FUNCTIONS Section 7.5. 7.5 TOPIC FOCUS I can… Identify exponential growth and decay Graph exponential functions

HOW DO I GRAPH WITH A VERTICAL SHIFT?

Example 1

Domain:

Range:

Page 13: EXPONENTIAL FUNCTIONS Section 7.5. 7.5 TOPIC FOCUS I can… Identify exponential growth and decay Graph exponential functions

HOW DO I GRAPH WITH A VERTICAL SHIFT?

Example 2

Domain:

Range:

Page 14: EXPONENTIAL FUNCTIONS Section 7.5. 7.5 TOPIC FOCUS I can… Identify exponential growth and decay Graph exponential functions

HOW DO I GRAPH WITH A VERTICAL SHIFT?

Example 3

Domain:

Range:

Page 15: EXPONENTIAL FUNCTIONS Section 7.5. 7.5 TOPIC FOCUS I can… Identify exponential growth and decay Graph exponential functions

HOW DO I GRAPH WITH A VERTICAL SHIFT?

Example 4

Domain:

Range:

Page 16: EXPONENTIAL FUNCTIONS Section 7.5. 7.5 TOPIC FOCUS I can… Identify exponential growth and decay Graph exponential functions

RATE YOUR LEVEL OF UNDERSTANDING

Got it!

Almost There!

HELP!!!

Page 17: EXPONENTIAL FUNCTIONS Section 7.5. 7.5 TOPIC FOCUS I can… Identify exponential growth and decay Graph exponential functions

MAIN QUESTION DISCOVERY

𝒚=𝟐𝒙

𝒚=𝟐𝒙+𝟓𝒚=𝟐𝒙−𝟑

Domain: All Real NumbersRange:

Domain: All Real NumbersRange:

Domain: All Real NumbersRange:

Page 18: EXPONENTIAL FUNCTIONS Section 7.5. 7.5 TOPIC FOCUS I can… Identify exponential growth and decay Graph exponential functions

HOW DO I IDENTIFY DOMAIN AND RANGE WITHOUT A GRAPH?

𝑦=( 14 )𝑥−6

What is the domain?

What is the range?

𝑦=5𝑥+7What is the domain?

What is the range?

𝑦=(0.8 )𝑥−1What is the domain?

What is the range?

Page 19: EXPONENTIAL FUNCTIONS Section 7.5. 7.5 TOPIC FOCUS I can… Identify exponential growth and decay Graph exponential functions

RATE YOUR LEVEL OF UNDERSTANDING

Got it!

Almost There!

HELP!!!