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 - Challenge Me

NameDate

Circle the best answer.

1.
Pia graphs a rocket launch. For which inputs is the graph above the x-axis?
- x > 3
- x ≥ 3
- x < 3
2.
Ren graphs a cloud that sinks. For which inputs is the graph above the x-axis?
- x > 5
- x ≤ 5
- x < 5
3.
Zee graphs a soup bowl. For which inputs is the graph above the x-axis?
- x ≤ 1 or x ≥ 5
- 1 < x < 5
- x < 1 or x > 5
4.
Ari's bike ride goes up and down hills. On which inputs is the graph decreasing?
- From y = 4 to y = 8
- From x = 0 to x = 3 and from x = 6 to x = 9
- From x = 3 to x = 6
5.
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
6.
Jun's swing goes back and forth. On which inputs is the graph increasing?
- From x = 3 to x = 6
- From y = 4 to y = 12
- From x = 0 to x = 3 and from x = 6 to x = 9
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 0 ≤ x ≤ 30; range 0 ≤ y ≤ 6
- Domain x ≥ 0; range y ≥ 0
- Domain 0 ≤ x ≤ 6; range 0 ≤ y ≤ 30
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 x ≥ 0; range y ≥ 0
- Domain 0 ≤ x ≤ 40; range 0 ≤ y ≤ 8
- Domain 0 ≤ x ≤ 8; range 0 ≤ y ≤ 40
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 ≤ 12; range 0 ≤ y ≤ 4
- Domain x ≥ 0; range y ≥ 0
- Domain 0 ≤ x ≤ 4; range 0 ≤ y ≤ 12
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 x ≥ 0; range y ≥ 0
- Domain 0 ≤ x ≤ 100; range 0 ≤ y ≤ 5

9th grade Key features of a graph, and its domain and range worksheet – printable — Print: 1 2 3 4 5 6

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.

More algebra 1

See all Algebra 1

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