University:
Indiana University East
Course:
MATH-M 123 | College Algebra
Academic year:

2023
Views:

187

Pages:

2
Author:

Athena Harrison

Math: Set Notation Worksheet ANSWERS Domain and Range For each graph, give the domain and range. Use words, a number line, set notation, and interval notation (if possible). y 4 1. Is this relation a function? Explain. 3 2 Yes, there is only one dependent value for each independent value. Also passes the vertical line test. 1 -5 -4 -3 -2 -1 1 -1 x 2 -2 -3 Words Domain Range All integers equal to or greater than -3 and less than or equal to 0. All integers equal to or greater than -1 and less than or equal to 2. Number Line Interval Notation Set Notation List -4 -3 -2 -1 0 1 -2 -1 0 1 2 3 not applicable not applicable {x/ -3 < x < 0, x ϵ I} One of 4 answers {y/ -1 < y < 2, y ϵ I} One of 4 answers -3, -2, -1, 0 -1, 0, 1, 2 y 2. 4 Is this relation a function? Explain. 3 2 Yes, there is only one dependent value for each independent value. Also passes the vertical line test. 1 -5 -4 -3 -2 -1 1 -1 2 3 4 x 5 -2 -3 -4 Domain Words Range All real numbers between -2 and 4, not All real numbers between -2 and 1, not including -2 but including 4. including -2 but including 1. Number Line -3 -2 -1 0 Interval Notation Set Notation 1 2 3 4 5 (-2, 4] 4 2 1 -3 -2 -1 -1 -2 -3 -4 -5 0 1 2 NO! It does not pass the vertical line test. 3 -4 -1 Is this relation a function? Explain. 5 -5 -2 (-2, 1] y 3. -3 1 2 3 4 5 x Domain Range All real numbers between -1 and 5, inclusive. Words Number Line -2 -1 0 1 2 Interval Notation Set Notation 3 4 5 All real numbers between -4 and 2, inclusive. 6 -5 -4 -3 -2 [-1, 5] -1 0 1 2 3 [-4, 2] y 5 Is this relation a function? Explain. 4 4. 3 NO! It does not pass the vertical line test. 2 ● 1 -5 -4 -3 -2 -1 -1 1 2 3 4 x 5 -2 -3 Domain Words Range All real numbers between and including All real numbers between -1 and 3, -2 and 2. not including -1 but including 3. Number Line -3 -2 -1 0 Interval Notation Set Notation 1 2 -2 3 -1 0 [-2, 2] 1 2 3 4 (-1, 3] y 5. 5 Is this relation a function? Explain. 4 3 2 1 -5 -4 -3 -2 -1 1 -1 2 3 4 x 5 Yes, there is only one dependent value for each independent value. Also passes the vertical line test. -2 -3 -4 -5 Domain Words Number Line Interval Notation Set Notation Range All real numbers greater than -3. -4 -3 -2 -1 0 All real numbers greater than -2. 1 -3 -2 -1 0 (-3, ) (-2, ) {x / x   3, x R } { y / y   2, y  R } 1

Domain and Range

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