Enter your choice in the space provided next to the problem number 1. let a (1,2,3) and b [1,8,27). which of the following defines a function from a into b? 2. let a-(1,23), b-(1, 8, 27) and f-t(1,1), (2,1), (3,1)) be a function from a into b. which of the following is the range of f? a. {1,2,3} c. (1,8,27) 3. two functions defined on the sets x (1.2,3) and y following statements concerning i) and i) is most accurate? fa, b, c) are given below. which of the a. only f maps x onto y. c. both f and g map x onto y b. only g maps x onto y d. neither f nor g are function from x onto y. 4. let f: r- r be given by f(x) e*. which of the following intervals corresponds to the rangs this function? 5. find [31.65] a. 31.7 b. 32 c. 31 d. 30 ,6. find 195] + [106] c. 20 d. 22 a. 18 b. 19

What is the approximate circumference of the circle shown below?

Amovie producer conducted a survey after the screening of his movie to find out how the film would be received by viewers from different age groups. the columns in the two-way table indicate the numbers of viewers who rated the film on a four-point scale: excellent, good, average, and poor. viewer's age group excellent good average poor marginal totals 16-25 52 42 12 7 113 26-35 33 50 5 9 97 36-45 58 12 28 34 132 which of these observations is supported by the data in the table? note: a rating of good or excellent means the audience liked the movie, while a rating of poor means the audience disliked the movie. a. the majority of the audience in the 26-35 age group disliked the movie. b. among those who liked the movie, the majority were in the oldest age group. c. among those who disliked the movie, the majority were in the 26-35 age group. d. the majority of the audience in the 16-25 age group liked the movie. e. the majority of the audience from all the age groups disliked the movie

At the county fair, animals are judged for the quality of their breeding and health. the animal pens are arranged in an array, with one animal in each pen. a barn can hold at most 10 rows of pens and at most 6 pens in each row, with room for people to walk around them. what different ways can the planners of the county fair arrange the pens for the horses and cows in the same barn?