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.

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

   • 2 ≤ y ≤ 4
   • 0 ≤ x ≤ 6
   • 0 < x < 6
3. 3.

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

   • −3 ≤ y ≤ 5
   • y ≥ −3
   • x ≥ 2
4. 4.

   Zee draws a sled run on a grid. What is the range of the graph?

   • 2 ≤ y < 8
   • 1 ≤ x < 5
   • 2 ≤ y ≤ 8
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
   • x ≥ 1
   • y ≥ −2

7. Read this first

   Use the table

   input x	output y
   1	14
   2	9
   3	5
   4	3
   5	6
   6	12

8. 7.

   Jun's bike ride dips through a valley. The table shows its height in meters. What is the lowest output?

   3
9. 8.

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

   17
10. 9.

    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 ≤ 60
    • t ≥ 0
    • 0 ≤ t ≤ 12
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
    • 0 ≤ n ≤ 45, n a whole number
    • n ≥ 0