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Grade 9 · Math · Algebra 1

9th grade Key features of a graph, and its domain and range worksheet

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Key features of a graph, and its domain and range

Grade 9 Math Worksheet

NameDate

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

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

    • y ≥ −3
    • x ≥ 2
    • −3 ≤ y ≤ 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 xoutput y
    04
    19
    213
    315
    411
    56
  7. Esme's rocket rises and falls. The table shows its height in meters. What is the highest output?

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

  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 ≤ 12
    • 0 ≤ t ≤ 60
    • t ≥ 0
  10. 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. 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
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9th grade Key features of a graph, and its domain and range worksheet – printable
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About this worksheet

Key features, domain and range. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can find a graph's intercepts and its highest or lowest output from a table or graph.
  • I can write the domain and range as inequalities, and say whether each end is included.
  • I can say where a graph is above the x-axis, rising, or falling.

Standard: F-IF.B.4, F-IF.B.5

Words to know

domain: Every input (x-value) the function uses.

range: Every output (y-value) the function reaches.

x-intercept: The input where the output is 0.

y-intercept: The output when the input is 0.

increasing: The outputs get larger as the inputs get larger.

closed or open dot: A closed dot includes its value; an open dot leaves it out.

Common mistakes

Your child mixed up the two intercepts.

Your child read the first row of the table instead of the row with input 0.

Your child gave the 0 output when the question asked for the input in that row.

What to say

Ask: the y-intercept is where the graph crosses the up-and-down axis, so what is the input there?

Ask: which row has 0 in the input column?

Ask: in the row where the output is 0, what is the input?

Questions parents ask

What is the most common mistake with key features of a graph, and its domain and range?

Your child mixed up the two intercepts.

How can I help my child with key features of a graph, and its domain and range?

Ask: the y-intercept is where the graph crosses the up-and-down axis, so what is the input there?

Are these 9th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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