Math

U6T1 Remediation – I can determine the inverse of a function algebraically and graphically.

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· Mastery 

· Partial Mastery 

· Non-Mastery 

1. The graph of a function is given below. Sketch the graph of the inverse of this function on the same coordinate plane.

2. Determine the inverse of the function:

3. Determine the inverse of the function:

4. Determine the inverse of the function:

5. The graph of a function is given below. Sketch the graph of the inverse of this function on the same coordinate plane.

Is the inverse a function?

U6T2 Remediation – I can perform operations on two functions.

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· Mastery 

· Partial Mastery 

· Non-Mastery 

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10. A craftsman makes and sells pianos. The function represents his cost in dollars to produce pianos. The function represents his income in dollars from selling pianos.

a) Write and Simplify the profit function below.

b) Find the profit he earns when he makes and sells 22 pianos.

U2T3 Remediation – I can calculate the composition of two functions, and use the composition to determine if two functions are inverses.

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· Mastery 

· Partial Mastery 

· Non-Mastery 

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14. Using function composition, determine if the functions below are inverses of each other.

15. A salesperson earns a 5% bonus on weekly sales over $125,000.

a) Consider the functions and . Explain what each of these functions represents.

b) Which composition, or , represents the actual weekly bonus the salesperson earns? Explain.