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

EXPONENTIAL FUNCTIONSSection 7.5

7.5 TOPIC FOCUSI 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

RATE YOUR LEVEL OF UNDERSTANDING

Got it!

Almost There!

HELP!!!

MAIN QUESTION DISCOVERY

Domain: All Real Numbers

Range:

HOW DO I GRAPH WITH AN EXPONENTIAL FUNCTION?

Example 1

Domain:

Range:

HOW DO I GRAPH WITH AN EXPONENTIAL FUNCTION?

Example 2

Domain:

Range:

HOW DO I GRAPH WITH AN EXPONENTIAL FUNCTION?

Example 3

Domain:

Range:

HOW DO I GRAPH WITH AN EXPONENTIAL FUNCTION?

Example 4

Domain:

Range:

RATE YOUR LEVEL OF UNDERSTANDING

Got it!

Almost There!

HELP!!!

MAIN QUESTION DISCOVERY

Domain: All Real Numbers

Range:

Domain: All Real Numbers

Range:

HOW DO I GRAPH WITH A VERTICAL SHIFT?

Example 1

Domain:

Range:

HOW DO I GRAPH WITH A VERTICAL SHIFT?

Example 2

Domain:

Range:

HOW DO I GRAPH WITH A VERTICAL SHIFT?

Example 3

Domain:

Range:

HOW DO I GRAPH WITH A VERTICAL SHIFT?

Example 4

Domain:

Range:

RATE YOUR LEVEL OF UNDERSTANDING

Got it!

Almost There!

HELP!!!

MAIN QUESTION DISCOVERY

𝒚=𝟐𝒙

𝒚=𝟐𝒙+𝟓𝒚=𝟐𝒙−𝟑

Domain: All Real NumbersRange:

Domain: All Real NumbersRange:

Domain: All Real NumbersRange:

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?

RATE YOUR LEVEL OF UNDERSTANDING

Got it!

Almost There!

HELP!!!