8.1 | Graphing Logs and Exponentials

Presentation

•

Mathematics

•

10th Grade

•

Medium

•

CCSS

HSF-IF.C.7E, HSF.BF.B.5, HSF-BF.B.4B

Standards-aligned

Lauren Hawkins

Used 24+ times

FREE Resource

6 Slides • 12 Questions

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!

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

Show answer

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