Relations and Functions

Master relations and functions with our 8th-grade math worksheet!

1. Sort the following graphs into one of the two groups (function or not a function). Function Not a Function 2. Sort the following ordered pairs and mappings into one of the two groups (function or not a function). Function {(0,-5), (-4,3), (3,4), (1,5)} {(-2,-5), (-1,3), (0,-1), (1,3), (2,-5)} {(-1,3), (-2,3), (-3,3), (-4,3)} Not a Function {(2,-6), (-5,5), (4,3), (2,5)} {(4,8), (4,9), (4,10), (4,11), (4,12)} 3. Which of the following ordered pairs does NOT represent y as a function of x? {(1, 2), (3, 5), (5, 7), (7, 10)} {(-1, 2), (3, 5), (5, 5), (7, 5)} {(1, 2), (3, 5), (5, 7), (3, 10)} {(1, 1), (3, 1), (5, 1), (8, 1)} 4. Which graph does NOT represent y as a function of x? 5. For question #4 above, which graph represents a LINEAR function? Graph A Graph B Graph C Graph D 6. If g(x) = -x + 5, find g(-3) 8 -8 2 -2 7. If f(x) = -3x - 5, find f(2). 11 -11 1 -1 8. The x value is also known as . . . a relation a function the input the output 9. State the DOMAIN of the function. (4,-5) (-5,4] (-2,3] [-2,3] 10. State the DOMAIN of the BLUE function. all real numbers greater than 2 all real numbers greater than 4 all real numbers greater than or equal to 0 all real numbers 11. What is the RANGE of the RED function? all real numbers greater than 2 all real numbers greater than or equal to 2 all whole numbers greater than or equal to 2 all whole numbers greater than or equal to 4 12. A music venue can hold at most 50 people. The tickets cost $20 each. The function m(x) = 20x represents the amount of money the venue makes each night. What is the domain of m(x) in this context? all real numbers all non-negative numbers all non-negative rational numbers all non-negative integers less than or equal to 50 all real numbers that are multiples of 20 13. A relation is shown below. Which value of x would make the relation NOTa function? (-3, 6), (?, 0), (1, -4) 1 0 -4 10 14. Which of the following isNEVERa function? horizontal line u-shaped graph vertical line a graph that passes through zero v-shaped graph