Chapter R.1, Problem 32PE

nit 5- Quiz #3 Determine the range of the relation graphed at the right. elect one: a. (R) All Real Numbers Ob. (R: 0sxs4) (R -25 xS 2) d. (R: 0sys 4) e. (R: -2s ys 2)

Find the domain and the range of the relation. (Hint: Remember that you cannot divide by 0 or take the square root of a negative number.) {(2, 2), (4, 4), (7, 7)} STEP 1: Collect all the numbers that come first in each ordered pair of the relation. (Enter your answer in roster notation.) domain: STEP 2: Collect all the numbers that come second in each ordered pair of the relation. (Enter your answer in roster notation.) range:

help

Let R be the relation on the set S = {1,2,3, a, b, c} given by xRy if and only if (г, у) € {(а, а), (1,1), (а, 1), (1, а), (3, 1), (1,3), (3, а), (а, 3), (ь, b), (b, 2), (2, с)}

Exercises 77 and 78: Diagrams Complete the following. (a) Evaluate f(2). (b) Write f as a set of ordered pairs. (c) Find the domain and range of f. 77. 78. 2.

13 In secondary school the word "relation" is used to describe a set of ordered pairs. In (a) and (b) examine the following ordered pairs of numbers, where the first coordinate is the x value and the second coordinate is the associated y value. In each case, explain why y is not a func- tion of x. (a) {(1, 2), (1, 3), (1, 4)} (b) {(-2, 1), (3, 2), (4, 3), (3, 1)} (c) Using the fourth method of representing functions described in this section, draw the picture that represents each of the relations from (a) and (b).

6. a) Given the graph, list 5 pairs of numbers that are part of this relation. b) Create the equation that describes this relation. c) Describe the relation in a few words. 2 -18-15-12 -9 -6 -3 3 69 12 15 18 -4 -6 10 Fill in the blank: A relation is_ 2.

Middle-aged may be defined as being 40 or more and less than 60. Express this statement using inequalities.

For each relation below, determine whether it is a function and state its domain and range. a) {(-5, 2), (-3, 3), (-1, 4), (1, 5)} b) c) Function? (circle) Yes/No Domain: Range: 10 -20 x -5 5 10 Function? (circle) Yes/No Function? (circle) Yes/No Domain: Domain: Range: Range: