Key features of a graph, and its domain and range
Grade 9 Math Worksheet

Circle the best answer, or write your answer on the line.
Milo draws a path on a grid. What is the domain of the graph?
- −2 ≤ x ≤ 4
- −2 < x < 4
- 1 ≤ y ≤ 7
Noah draws a kite string on a grid. What is the domain of the graph?
Graph on a grid (each square is one unit): a segment from (−3, 2), closed dot, to (5, 6), open dot. Graph on a grid (each square is one unit): a segment from (−3, 2), closed dot, to (5, 6), open dot. −4 −3 −2 −1 1 2 3 4 5 6 0 1 2 3 4 5 6 7 - −3 ≤ x ≤ 5
- −3 ≤ x < 5
- 2 ≤ y < 6
Pia draws a rocket path on a grid. What is the domain of the graph?
Graph on a grid (each square is one unit): a ray that starts at the closed dot (1, 3) and goes up and to the right through (5, 11), with an arrow. Graph on a grid (each square is one unit): a ray that starts at the closed dot (1, 3) and goes up and to the right through (5, 11), with an arrow. −1 1 2 3 4 5 6 7 0 1 2 3 4 5 6 7 8 9 10 11 12 13 - x ≥ 1
- y ≥ 3
- x ≤ 1
Ren draws a ladder leaning on a wall. What is the domain of the graph?
Graph on a grid (each square is one unit): a segment from (0, 4) to (6, 2), closed dots at both ends. Graph on a grid (each square is one unit): a segment from (0, 4) to (6, 2), closed dots at both ends. −1 1 2 3 4 5 6 7 0 1 2 3 4 5 - 0 < x < 6
- 0 ≤ x ≤ 6
- 2 ≤ y ≤ 4
Ari draws a tent roof on a grid. What is the range of the graph?
Graph on a grid (each square is one unit): an upside-down V with arrows on both ends: it goes up through (0, −1) to its highest point (3, 5), then down through (6, −1). Graph on a grid (each square is one unit): an upside-down V with arrows on both ends: it goes up through (0, −1) to its highest point (3, 5), then down through (6, −1). upside-down V −2 −1 1 2 3 4 5 6 7 8 −3 −2 −1 1 2 3 4 5 6 7 0 - x ≤ 3
- y ≥ 5
- y ≤ 5
Read this first
Use the table
input x output y 0 4 1 9 2 13 3 15 4 11 5 6 Esme's rocket rises and falls. The table shows its height in meters. What is the highest output?
Jun's bike ride dips through a valley. The table shows its height in meters. What is the lowest output?
Kira's ball is tossed high. The table shows its height in feet. What is the highest output?
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
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 ≤ 45, n a whole number
- n ≥ 0
- 0 ≤ n ≤ 270, n a whole number