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.

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

   • x ≤ 1
   • y ≥ 3
   • x ≥ 1
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
   • −3 ≤ y ≤ 5
   • x ≥ 2
5. 5.

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

   • y ≥ 5
   • x ≤ 3
   • y ≤ 5
6. 6.

   Bo draws a soup bowl on a grid. What is the range of the graph?

   • −2 ≤ y ≤ 6
   • y ≥ −2
   • x ≥ 1

7. Read this first

   Use the table

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

8. 7.

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

   15
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?

    • w ≥ 0
    • 0 ≤ w ≤ 9
    • 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?

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