Pre-Calculus 11 Ms. Lee Ch. 7 – Absolute Value and Reciprocal Functions Page 1 of 5 Ch. 7 - Assignment First Name: _______________________ Last Name: ______________________ Block: ______ 1. Evaluate a) ( ) | 2 | | 4 3 | 2 2 − − − − b) | 4 | 2 | 3 | 3 + − − − x x if 1 − = x . 2. Graph each absolute value function, a) | 3 2 | − = x y How would you find the exact value(s) of the vertex/vertices of the absolute value function? b) | 8 2 | 2 − − = x x y How would you find the exact value(s) of the vertex/vertices of the absolute value function? 3. You solved an equation, 0 ) ( = x f and obtained 1 − = x . If the actual value of ) 1 (− f is 3. Is 1 − = x a solution?
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Pre-Calculus 11 Ms. Lee Ch. 7 – Absolute Value and Reciprocal Functions
Page 1 of 5
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
Page 2 of 5
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
Page 3 of 5
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
Page 4 of 5
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
Page 5 of 5
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):