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Grade 9 · Math · Algebra 1

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

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

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Key features of a graph, and its domain and range

Grade 9 Math Worksheet - Building Confidence

NameDate

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

  1. Read this first

    Use the table

    input xoutput y
    −40
    −24
    08
    212
  2. Noah plots a kite string on a grid. The table lists points of the graph. Where does the graph cross the y-axis? Give the y-value.

  3. Pia plots a sled run on a grid. The table lists points of the graph. Where does the graph cross the y-axis? Give the y-value.

  4. Ren plots a ladder climb on a grid. The table lists points of the graph. Where does the graph cross the y-axis? Give the y-value.

  5. Tala plots how a bus slows to a stop. The table lists points of the graph. Where does the graph cross the x-axis? Give the x-value.

  6. Zee plots a robot test on a grid. The table lists points of the graph. Where does the graph cross the x-axis? Give the x-value.

  7. Ari plots a cloud height on a grid. The table lists points of the graph. Where does the graph cross the x-axis? Give the x-value.

  8. Esme's plant record is in a table (negative numbers are below the pot). Is the function increasing or decreasing?

    • Decreasing: the outputs get smaller as the inputs get larger
    • Decreasing: the first outputs are negative
    • Increasing: the outputs get larger as the inputs get larger
  9. Jun's snow castle melts in the sun. The table shows its height in cm. Is the function increasing or decreasing?

    • Increasing: the outputs are positive
    • Increasing: the outputs get larger as the inputs get larger, row by row
    • Decreasing: the outputs get smaller as the inputs get larger
  10. Kira counts cookies on a plate as friends arrive. Is the function increasing or decreasing?

    • Decreasing: the outputs get smaller as the inputs get larger
    • Increasing: the outputs get larger as the inputs get larger
    • Neither: the first and last outputs are different
  11. Luz's lamp battery runs down. The table shows the percent left. Is the function increasing or decreasing?

    • Decreasing: the outputs get smaller as the inputs get larger
    • Neither: the first and last outputs are different
    • Increasing: the outputs get larger as the inputs get larger
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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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