Key features of a graph, and its domain and range

Answer Key - Grade 9 Math Worksheet

Circle the best answer, or write your answer on the line.

1. 1.

   Milo draws a path on a grid. What is the domain of the graph?

   • 1 ≤ y ≤ 7
   • −2 ≤ x ≤ 4
   • −2 < x < 4
2. 2.

   Noah draws a kite string on a grid. What is the domain of the graph?

   • −3 ≤ x ≤ 5
   • −3 ≤ x < 5
   • 2 ≤ y < 6
3. 3.

   Ren draws a ladder leaning on a wall. What is the domain of the graph?

   • 2 ≤ y ≤ 4
   • 0 ≤ x ≤ 6
   • 0 < x < 6
4. 4.

   Tala draws a valley on a map. What is the range of the graph?

   • y ≥ −3
   • x ≥ 2
   • −3 ≤ y ≤ 5
5. 5.

   Ari draws a tent roof on a grid. What is the range of the graph?

   • y ≤ 5
   • y ≥ 5
   • x ≤ 3

6. Read this first

   Use the table

   input x	output y
   0	4
   1	9
   2	13
   3	15
   4	11
   5	6

7. 6.

   Esme's rocket rises and falls. The table shows its height in meters. What is the highest output?

   15
8. 7.

   Kira's ball is tossed high. The table shows its height in feet. What is the highest output?

   17
9. 8.

   Luz fills an empty tank that holds 60 liters, 5 liters every minute. The function V(t) gives the liters after t minutes. Which inputs make sense?

   • 0 ≤ t ≤ 12
   • 0 ≤ t ≤ 60
   • t ≥ 0
10. 9.

    Milo saves $4 a week toward a $36 game. The function s(w) gives the dollars saved after w weeks. Which inputs make sense?

    • 0 ≤ w ≤ 9
    • w ≥ 0
    • 0 ≤ w ≤ 36
11. 10.

    Noah's theater sells $6 tickets for 45 seats. The function r(n) gives the dollars from n tickets. Which inputs make sense?

    • 0 ≤ n ≤ 270, n a whole number
    • n ≥ 0
    • 0 ≤ n ≤ 45, n a whole number