Pre-Calculus 11 Ms. Lee Ch. 7 – Absolute Value and Reciprocal Functions

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Ch. 7 - Assignment First Name: _______________________ Last Name: ______________________ Block: ______ 1. Evaluate

a) ( ) |2||43| 22 −−−−

b) |4|2|3|3 +−−− xx if 1−=x .

2. Graph each absolute value function, a) |32| −= xy

 How would you find the exact value(s) of the vertex/vertices of the absolute value function?   

b) |82| 2 −−= xxy

 How would you find the exact value(s) of the vertex/vertices of the absolute value function? 

3. You solved an equation, 0)( =xf and obtained 1−=x . If the actual value of )1(−f is 3. Is

1−=x a solution?

Pre-Calculus 11 Ms. Lee Ch. 7 – Absolute Value and Reciprocal Functions

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4. Given =−− 5|12| x 2− , solve by graphing and algebraically. Solve by graphing.

Solve algebraically.

5. Solve 32|15| =++ xx .

Pre-Calculus 11 Ms. Lee Ch. 7 – Absolute Value and Reciprocal Functions

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6. Given 9|9| 22 −=− xx , Solve by graphing.

Solve algebraically.

7. Solve |3| +x = xx 32 − .

Pre-Calculus 11 Ms. Lee Ch. 7 – Absolute Value and Reciprocal Functions

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8. Sketch 1)( 2 −= xxf (in red). Graph the reciprocal function, 1

12 −

=x

y (in blue).

Equation(s) of Horizontal Asymptote(s): Equation(s) of Vertical Asymptote(s):

9. Sketch 3)( 2 += xxf (in red). Graph the reciprocal function, 3

12 +

=x

y (in blue).

Equation(s) of Horizontal Asymptote(s): Equation(s) of Vertical Asymptote(s):

Pre-Calculus 11 Ms. Lee Ch. 7 – Absolute Value and Reciprocal Functions

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10. Given the graph of )(xfy = , sketch the graph of )(

1xf

y = .

Equation(s) of Horizontal Asymptote(s): Equation(s) of Vertical Asymptote(s):

11. Given the graph of )(xfy = , sketch the graph of )(

1xf

y = .

Equation(s) of Horizontal Asymptote(s): Equation(s) of Vertical Asymptote(s):