Key features of a graph, and its domain and range

Grade 9 Math Worksheet - Challenge Me

Circle the best answer.

1. 1.

   Ren graphs a cloud that sinks. For which inputs is the graph above the x-axis?

   • x > 5
   • x ≤ 5
   • x < 5
2. 2.

   Tala graphs a tent roof. For which inputs is the graph above the x-axis?

   • −2 < x < 4
   • −2 ≤ x ≤ 4
   • x < −2 or x > 4
3. 3.

   Ari's bike ride goes up and down hills. On which inputs is the graph decreasing?

   • From x = 0 to x = 3 and from x = 6 to x = 9
   • From y = 4 to y = 8
   • From x = 3 to x = 6
4. 4.

   Bo's sled ride goes down and up. On which inputs is the graph increasing?

   • From y = 1 to y = 7
   • From x = 0 to x = 2 and from x = 5 to x = 8
   • From x = 2 to x = 5
5. 5.

   Esme's tree sways in the wind. On which inputs is the graph decreasing?

   • From x = 4 to x = 7
   • From x = 1 to x = 4 and from x = 7 to x = 10
   • From y = 2 to y = 9
6. 6.

   Jun's swing goes back and forth. On which inputs is the graph increasing?

   • From y = 4 to y = 12
   • From x = 0 to x = 3 and from x = 6 to x = 9
   • From x = 3 to x = 6
7. 7.

   Kira's pool has 30 liters and drains 5 liters each minute until empty. Time is x (minutes) and the water is y (liters). What are the domain and range?

   • Domain x ≥ 0; range y ≥ 0
   • Domain 0 ≤ x ≤ 30; range 0 ≤ y ≤ 6
   • Domain 0 ≤ x ≤ 6; range 0 ≤ y ≤ 30
8. 8.

   Luz saves $5 a week toward a $40 bike light. Time is x (weeks) and the savings are y (dollars). What are the domain and range?

   • Domain 0 ≤ x ≤ 8; range 0 ≤ y ≤ 40
   • Domain 0 ≤ x ≤ 40; range 0 ≤ y ≤ 8
   • Domain x ≥ 0; range y ≥ 0
9. 9.

   Milo's 12 cm candle burns 3 cm each hour until gone. Time is x (hours) and the height is y (cm). What are the domain and range?

   • Domain 0 ≤ x ≤ 4; range 0 ≤ y ≤ 12
   • Domain x ≥ 0; range y ≥ 0
   • Domain 0 ≤ x ≤ 12; range 0 ≤ y ≤ 4
10. 10.

    Noah's lamp battery starts at 100 percent and drops 20 percent each hour until empty. Time is x (hours) and the battery is y (percent). What are the domain and range?

    • Domain 0 ≤ x ≤ 5; range 0 ≤ y ≤ 100
    • Domain 0 ≤ x ≤ 100; range 0 ≤ y ≤ 5
    • Domain x ≥ 0; range y ≥ 0