Lesson 4 Pulling a Rabbit Out of the Hat Solidify Understanding

Ready

Use the product rule or the quotient rule to rewrite the expression. Leave all answers in exponential form with only positive exponents.

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10.

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12.

Set

13.

Given the functions and :

a.

Calculate and .

b.

What do your ordered pairs for and imply?

c.

Find .

d.

Based on your answer for , predict .

e.

Find . Did your answer match your prediction?

f.

Are and inverse functions? Justify your answer.

14.

Match each function with its inverse.

  1. ___

  2. ___

  3. ___

  4. ___

  5. ___

  6. ___

  7. ___

Go

Calculate and for each pair of functions.

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16.

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18.

19.

Mach each graph with the correct pair of functions from problems 15–18. Label and .

Then, graph the line on each of the graphs.

a.

The graph matches functions from #:

Graph the line on the graph.

Two transformed functions of 1/x x–5–5–5555y–5–5–5555000

b.

The graph matches functions from #:

Graph the line on the graph.

Two linear functions that are not intersecting. x–10–10–10–5–5–5555101010y–10–10–10–5–5–5555101010000

c.

The graph matches functions from #:

Graph the line on the graph.

Two cubic functions intersecting at about (-3.5,-3.5) x–5–5–5555y–5–5–5555000

d.

The graph matches functions from #:

The graph the line on the graph.

two linear functions intersecting at (-5,-5) x–5–5–5555y–5–5–5555000