8.1 | Graphing Logs and Exponentials

8.1 | Graphing Logs and Exponentials

Essential Question: How are exponentials and logarithms related?

9th | Join this activity!

11th | Work on practice & watch 8.2

Poll

What type of music do you enjoy?

You may select more than one!

• Rock

• R&B and rap

• Classical

• Country

• Indie

Multiple Choice

Logarithms are the inverse of ___________.

• Trees

• Quadratics

• Square

• Exponential

Multiple Choice

What is the relationship between f(x) = log₅(x)

and g(x) = 5^x?

• No Relationship

• Inverses

• Same Function

Multiple Choice

Which has a horizontal asymptote?

• Exponential

• Logarithmic

• Both

Multiple Choice

Which has a vertical asymptote?

• Exponential

• Logarithmic

• Both

Take a closer look!

In our next lesson, we will explore how we can actually convert between the two!

Multiple Choice

What are the transformations of the function below?
 $f\left(x\right)=\log_4\left(x-1\right)+5$  

• Right 1 Up 5

• Right 1 Down 5

• Left 1 Up 5

• Left 1 Down 5

Multiple Choice

Match the graph with its equation

• y = log₅ (x + 1) + 1

• y = log₅ (x - 1) + 1

• y = log₅ (x²) + 1

• y = log₅ (x)-1

Take a closer look!

Use those KEY POINTS!

Multiple Choice

Match the graph with its equation

• y = log₆(-x) + 1

• y = log₆(x − 2) + 1

• y = log₆(x + 2) - 1

• y = log(x-8) + 1

Multiple Choice

What is the range?

• (-∞, ∞)

• (0, ∞)

• [1, ∞)

• (1, ∞)

Multiple Choice

Where would the asymptote be for this graph?

 $e\left(x\right)=2^{x+3}-4$  

• y = 4

• y = -4

• x = 2

• x = -3

QUICK FACT

Exponentials have HORIZONTAL asymptotes.

Multiple Select

Match the function.

HINT: There may be more than one answer...

•  $y=\left(\frac{1}{2}\right)^x$  

•  $y=-\left(2\right)^x$  

•  $y=\left(-2\right)^x$  

•  $y=2^{-x}$  

Multiple Choice

AGREE or DISAGREE: The function below is exponential.

 $y=\left(1\right)^x$  

What next?

• Classwork | Practice #8.1 DUE 11:59

• Before Mon | Watch #8.2 (18 min)

• Stick around on Zoom for any questions!