Worksheet: Function Notation, Domain, Range
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1 Worksheet: Function Notation, Domain, Range Multiple Choice Identify the choice that best completes the statement or answers the question.. Which relation is not a function? 2. Evaluate for. a. 0 c. 20 b. 6 d The temperature fell at a rate of 0.65 C/h. The temperature was recorded at 37 C at 6 p.m. Which function can be used to represent this situation? 4. Consider the functions and. Which of the following is true? 5. Tanya thought of a number. She tripled the number and subtracted 25 from the result. She then multiplied the difference by the original number. Which function represents Tanya s number? 6. Evaluate for. a. 6 c. 26 b. 3 d The graph of is shown. y x Evaluate h() + h(4). a. 4 c. b. 2 d Dwayne walked 8.4 km. He then ran at a rate of.2 km/h. Which function can be used to show the distance Dwayne walked and ran?
2 9. Debra thought of a number. She squared the number and added the original number to the result. She then divided the sum by 4. Which function represents Debra s number? 0. What are the domain and range of the function? c. Domain = { R } b. Domain = { R } d. Domain = { R }. What are the domain and range of the function? c. Domain = { R} b. Domain = { R} d. Domain = { R} 2. What are the domain and range of the function? c. Domain = { R } b. Domain = { R } d. Domain = {x R } 3. Which of the following is the parent function for? Short Answer 4. Describe the graph of the relation x =. Is the relation a function? Explain your answer. 5. Mr. Ang invested $865 in a business making gift baskets. He makes $3.28 for each gift basket that he sells. Write a function that represents the situation. How many gift baskets must Mr. Ang sell until he makes a profit? 6. Consider the functions and. Determine. 7. Consider the function. Create a table of values to determine f(), f(), f(0), f(), and f(2). 8. Consider the function. Determine.
3 9. Theresa has 6 kg of dog food. Each day she feeds her dogs kg of dog food. Write a function to show the amount of dog food Theresa has after x days. After how many days will Theresa have 0 kg of dog food left? 20. The graphs of and are shown. y = f(x) y = g(x) x x Evaluate 2. For determine the input for x when the output of g(x) = Ms. Jackson has 32 m of fencing to make a rectangular pen for her rabbits. The wall of her house will serve as one side of the pen, so she will use fencing for only three sides of the rectangle. Express the area of the rabbit pen as a function of its width and then determine the domain and range of the area function. 23. Trisha has 8 m of fencing to enclose her rectangular garden. Express the area of the garden as a function of its width and then determine the domain and range of the area function.
4 24. Determine the range of the function if the domain is {,.2, 0.6, 5, 7.8}. Worksheet: Function Notation, Domain, Range Answer Section MULTIPLE CHOICE. ANS: D PTS: REF: Thinking OBJ:. - Relations and Functions 2. ANS: D PTS: REF: Knowledge and Understanding 3. ANS: A PTS: REF: Application 4. ANS: D PTS: REF: Knowledge and Understanding 5. ANS: B PTS: REF: Knowledge and Understanding 6. ANS: A PTS: REF: Knowledge and Understanding 7. ANS: A PTS: REF: Knowledge and Understanding 8. ANS: D PTS: REF: Application 9. ANS: C PTS: REF: Knowledge and Understanding 0. ANS: D PTS: REF: Knowledge and Understanding. ANS: B PTS: REF: Knowledge and Understanding 2. ANS: B PTS: REF: Knowledge and Understanding 3. ANS: C PTS: REF: Knowledge and Understanding OBJ:.7 - Investigating Horizontal Stretches, Compressions, and Reflections SHORT ANSWER 4. ANS: The graph of x = is a vertical line that crosses the x-axis at (, 0). The relation is not a function because it does not pass the vertical-line test. PTS: REF: Communication OBJ:. - Relations and Functions 5. ANS: ; 66 gift baskets PTS: REF: Thinking 6. ANS: PTS: REF: Application
5 7. ANS: f(d) PTS: REF: Application 8. ANS: PTS: REF: Application 9. ANS: ; 9 days PTS: REF: Thinking 20. ANS: = PTS: REF: Application 2. ANS:, 8 PTS: REF: Thinking 22. ANS: or ; Domain = { R }, PTS: REF: Thinking 23. ANS: or ; Domain = { R }, PTS: REF: Thinking 24. ANS: Range = { 7.52, 6.52, 40, 67, 30.72} PTS: REF: Application
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