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Work together. Use whiteboards. Use laptops. Find “f of g of x” & “g of f of x.” Form a conjecture based on your results. Opener. Use the resources on the internet and each other to help you relearn the concept. 1.6 Inverse Functions. SWBAT find the inverse of a function.

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Presentation Transcript
opener

Work together.

Use whiteboards.

Use laptops.

Find “f of g of x” & “g of f of x.” Form a conjecture based on your results.

Opener

Use the resources on the internet and each other to help you relearn the concept.

1 6 inverse functions

1.6 Inverse Functions

SWBAT find the inverse of a function.

SWBAT verify that two functions are inverses of each other.

Write down the date, Section #, Title and Learning Objective(s) into your notebook.

key concepts

Key Concepts

LISTEN

LOOK

Definition of Inverse of a Function: (composition)

Notation:

Read as “f-inverse.”

Write down what you want into “Key Concepts” as you Look & Listen.

key concepts1

Key Concepts

LISTEN

LOOK

How to find the inverse of a function:

Rewrite “f(x)” into “y.”

Switch the “x” & “y.”

Solve for “y.”

Rewrite the “y” as “f-1(x).”

Write down what you want into “Key Concepts” as you Look & Listen.

how do we get there

How do we get there?

LISTEN

LOOK

Find the inverse informally.

SWBAT find the inverse of a function.

now let s try together

Now let’s try together.

Use whiteboards.

Find the inverse informally.

SWBAT find the inverse of a function.

now let s try together1

Now let’s try together.

Use whiteboards.

Find the inverse formally.

SWBAT find the inverse of a function.

how do we get there1

How do we get there?

LISTEN

LOOK

Find the inverse formally.

SWBAT find the inverse of a function.

now let s try together2

Now let’s try together.

Use whiteboards.

and

SWBAT verify that two functions are inverses of each other.

how do we get there2

How do we get there?

LISTEN

LOOK

and

SWBAT verify that two functions are inverses of each other.

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