Worksheet: Introduction to Inverse Functions
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1 Worksheet: Introduction to Inverse Functions Multiple Choice Identif the choice that best completes the statement or answers the question.. A pre-paid cellular phone charges $ for activation and $0.0 per minute. The relation of cost to minutes can be defined b the function. What is the inverse of the function? a. c. b. d.. Which of the following is the inverse relation to the set of ordered pairs {( 0, ), ( 7, 9), (0, 6), (8, )}? a. {(, 0), (9, 7), (6, 0), (, 8)} c. {(0, ), (7, 9), (0, 6), ( 8, )} b. {( 0, ), ( 7, 9), (0, 6), (8, )} d. {(, 0), ( 9, 7), ( 6, 0), (, 8)}. Which of the following is the inverse to the function Multipl b 8, then subtract 0? a. Add 0, then divide b 8 c. Divide b 8, then add 0 b. Subtract 0, then multipl b 8 d. Multipl b 0, then subtract 8. Which of the following is the inverse to the function? a. c. b. d.. A graph of a function is shown. x Which of the following is the graph of the inverse?
2 a. c. x x b. d. x x 6. The Drama Club is holding a car wash to raise mone. The club spent $90 on materials and supplies. The club earns $. for each car the wash. Which of the following is the inverse to the function of how much the club earns per cars washed? a. c. b. d. 7. Which of the following is the inverse relation to the set of ordered pairs {( 7, ), (0, 6), (, 9), (7, 8)}? a. {(7, ), (0, 6), (, 9), ( 7, 8)} c. {(, 7), (6, 0), ( 9, ), (8, 7)} b. {( 7, ), (0, 6), (, 9), (7, 8)} d. {(, 7), ( 6, 0), (9, ), ( 8, 7)} 8. Which of the following is the inverse to the function Divide b, then add? a. Add, then divide b c. Divide b, then add b. Subtract, then multipl b d. Multipl b, then subtract Short Answer 9. What is the inverse of the linear function? 0. For, determine.
3 . Use the graph of the function to draw the graph of the inverse. x Is the inverse a function?. A DVD rental compan charges $7 per month plus $.0 for each rental. The relation can be defined b. Determine the inverse of the function and what it represents.. What is the inverse of the linear function?. For, determine.. Use the graph of the function to draw the graph of the inverse. x Is the inverse a function? 6. Ms. Wright wrote the function to represent her profits from purses sold. Determine the inverse of the function and what it represents. 7. What is the inverse of the linear function? 8. For, determine.
4 Problem 9. The formula for converting a temperature in degrees Fahrenheit into degrees Celsius is. a) Write the formula in function notation. b) Write as a rule. What does the rule represent?
5 c) Use the inverse function to convert 9 C into degrees Fahrenheit. Worksheet: Introduction to Inverse Functions Answer Section MULTIPLE CHOICE. ANS: D PTS: REF: Application. ANS: A PTS: REF: Knowledge and Understanding. ANS: A PTS: REF: Application. ANS: C PTS: REF: Knowledge and Understanding. ANS: B PTS: REF: Application 6. ANS: B PTS: REF: Application 7. ANS: D PTS: REF: Knowledge and Understanding 8. ANS: B PTS: REF: Application SHORT ANSWER 9. ANS: PTS: REF: Knowledge and Understanding 0. ANS: PTS: REF: Application. ANS:
6 x Yes, the inverse is a function. PTS: REF: Thinking. ANS: ; the inverse represents the rentals as a function of cost PTS: REF: Thinking. ANS: PTS: REF: Knowledge and Understanding. ANS: PTS: REF: Application. ANS: x No, the graph of the inverse is not a function.
7 PTS: REF: Thinking 6. ANS: ; the inverse represents the purses sold as a function of profits PTS: REF: Thinking 7. ANS: PTS: REF: Knowledge and Understanding 8. ANS: PTS: REF: Application PROBLEM 9. ANS: a) b) ; the inverse represents the formula to convert degrees Celsius to degrees Fahrenheit c) 8. F PTS: REF: Communication
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NAME DATE PERIOD Solve Rational Equations A rational equation contains one or more rational epressions. To solve a rational equation, first multipl each side b the least common denominator of all of the
Algebra QBA 1 Review. 4. Solve. Check your answer. 5. Solve. Check your answer. 6. Solve 14 + s = 32.
Algebra QBA 1 Review Short Answer 1. Juan scored 26 points in the first half of the basketball game, and he scored n points in the second half of the game. Write an expression to determine the number of
Pre-Test. 1. Determine the solution to each system of equations. a. 3x 2 y 5 5 2x 1 7y b. 22x 5 210y x 1 8y 5 5
Pre-Test Name Date 1. Determine the solution to each system of equations. a. 3x 2 y 5 5 2x 1 7y 5 212 b. 22x 5 210y 2 2 2x 1 8y 5 5 2. Determine the number of solutions for each system of equations. 4y
6. Graph each of the following functions. What do you notice? What happens when x = 2 on the graph of b?
Pre Calculus Worksheet 1. Da 1 1. The relation described b the set of points {(-,5,0,5,,8,,9 ) ( ) ( ) ( )} is NOT a function. Eplain wh. For questions - 4, use the graph at the right.. Eplain wh the graph