Algebra 2 6-6 Independent Practice: Function Operations

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by Matthew Richardson

| 9 Questions

1

1

10

A

B

C

D

2

2

10

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B

C

D

3

3

10

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B

C

D

4

4

10

A

B

C

D

5

5

10

A

B

C

D

6

6

10

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D

7

50

Error Analysis: Your friend used some simple functions and found the following to be true for particular functions f and g and concluded that function composition is commutative.

Give an example to show that your friend is mistaken.

Define each of the following in your counterargument:

f(x)

g(x)

(f °g)(x)

(g ° f)(x)

Note: To form a counterexample, (f °g)(x) should not equal (g ° f)(x).

8

10

Open-Ended: Find two functions f and g such that, for all real numbers x

9

10

Reflection: Math Success

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