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Evaluating and Graphing Functions Summative Test in General Mathematics Choose the correct answer. Write it on your answer sheet. Week 1 11. How do we evaluate a function? a. by substituting the given value of the variable and simplifying by finding the value to be substituted to the variable Introduction to Functions by solving for the value of the variable that will make the function equal to 0 Functions, Function Notations, and Equations d. by graphing the function on the Cartesian plane Choose the correct answer. Write it on your answer sheet. 1. It is an equation in two variables x and y, where the variable y may be expressed as f(x] if every value 12. Evaluate f(x) at x= 10. of x corresponds to a single value of v. a. function b. equation c. variable d. notation ((x) = XC4 3x - 1 if x= 4 (2x3 + 5x -1 2. How will you read x>2x+5? a. 249 a. C. 29 d. 1349 x 6 mapped to 2x+5 C. from x to 2x+5 x approaches 2x+5 d. x can be written as 2x+5 13. What is the graph of the function y=x+37 Which of the following is not a function 5x+2 b. y=12x+5 C. f(x]-3x+1 d. s=71+9 Elaine bought a cake-making kit. She sells one-pound cakes for P75 each. Write a function C that shows how much she earns selling p pounds of cake. C(p) 75p . ((p)=75p+150 Cup)=75+p d. C(p)=75p+150+p 5. A rectangular garden has a perimeter of 120 m. Express its area A as a function of the width w. a. A(w) 60w-w2 c. A(w)-120w-120w2 14. Joy took P550 from her savings to buy materials for a school project, and she returns P25 every week. The b. A(w)-60w-60w2 d. A(w)=120w=w2 amount Joy needs to put back in her savings after w weeks is modeled by the function A(w)=550-25w. How much money does Joy need to save after 9 weeks? Functions vs Relations a. P325 b. P225 C. P125 d. P435 Choose the correct answer. Write it on your answer sheet. 6. It is a set of numbers grouped with each other that may or may not represent a pattern. 15. Amobile network charges P300 a month for a calling plan with 400 minutes of consumable calls. After the initial relation correspondence 400 minutes of calls is consumed, the plan charges an additional P7 per minute. Find the amount to be paid for function ordered pairs 430 minutes of phone calls under this plan. P510 b. P610 C. P410 d. p810 7. Which of the following graphs represents a relation that is a function? Domain and Range of Functions Choose the correct answer. Write it on your answer sheet. 16. It is the set of all values of y that can be obtained from the possible values of x. 17. What is the domain of f(x)=x2+5x-37 a. the set of real numbers the set of rational numbers the set of integers d. the set of complex numbers 18. What is the domain of f(x)=4x+37 a. 12- 8. Which of the following relations is a function? b. x>- C. XS- d x ((-4.31.(-4,2).[1,9146,7)} C. {(2,1),(4,2).[2, 34(8,4)1 b. {(-4,31.(-2,0)[2,71.43,9)) 19. Kimberly is selling candles as a fund-raiser. She spent P50 on supplies for making candles. She plans to sell the candles for P10 each. The revenue that Kimberly earns by selling candles can be modeled by c(x)=10x-50. What 9. Which of the following relationships is not an example of a real-life function? are the domain and range of the function? people and their siblings c. parents and their firstborn children Domain: people and their mothers d. people and their fathers Range: 10. Categorize the following relationships according to whether they are functions or not. 20. Kristine had a beautiful plant. It began sprouting 2 days before Kristine bought it, and she took care of it for 88 time spent traveling and distance traveled on an airplane flight days before it died. At its tallest, the plant was 20 cm tall. Let hit) denote the height of Kristine's plant number of hours spent working in a week and amount of money earned that week measured in cm], t days from the time she bought it. Which set of numbers is more appropriate for the domain number of games played by a basketball team and number of games they won of the function? names of pet owners and names of their pets the set of positive real numbers c. the set of rational numbers b. the set of integers d. the set of whole numbers