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Algebra 1 Graphing Functions Jan 10 - Printable Mathematics Worksheets - Wayground

Algebra 1 Graphing Functions Jan 10

10 questions

9th - 9th Grade

Mathematics

Algebra 1 Graphing Functions Jan 10 is a free printable Grade 9 mathematics worksheet that helps students identify and interpret common function families from graphs and equations. Across 10 multiple-choice questions, students classify square root, exponential, quadratic, and absolute value functions, distinguish exponential growth from decay and linear graphs, and recognize function types from their visual features and notation. The worksheet also asks students to apply graph-reading skills by deciding whether a pictured function crosses the x-axis and identifying the vertex of a parabola from ordered-pair choices. An item featuring f(x) = -4|x + 2| + 5 reinforces recognition of absolute value notation, while the quadratic equation item connects symbolic form to function classification. It is designed for Grade 9 Algebra 1 practice, review, or a quick formative check, and includes a complete answer key for efficient checking.

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Worksheets

Algebra 1 Graphing Functions Jan 10

Total questions: 10

Name
Class
Date
1.

What type of function is this? f(x)=x−1−3f\left(x\right)=\sqrt{x-1}-3  

a)

square root

b)

square

c)

absolute value

d)

quadratic

2.
Is the pictured graph growth, decay, or linear or none?  
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
3.

Do square root functions have 2 arrows?

a)

Yes

b)

No

c)

Sometimes

4.

Does the function f(x)=2xf\left(x\right)=2^x   ever cross the x axis?

a)

No

b)

Yes

c)

Maybe

5.

What type of function is shown?

a)

square

b)

square root

c)

absolute value

d)

exponential

6.

What type of function is this?

a)

Exponential

b)

Square root

c)

Absolute Value

d)

Quadratic

7.
What is the vertex of this parabola?
a)
(−1, 3)
b)
(−3, 11)
c)
(−2, 5)
d)
(0, 5)
8.

Which type of function is this?

a)

Square root

b)

Linear

c)

Absolute Value

d)

Quadratic

9.

What type of function is this? f(x)= -4|x+2|+5

a)

linear

b)

absolute value

c)

quadratic

d)

square root

10.

What type of function is this? f(x)=3(x-1) 2 - 8

a)

square root

b)

exponential

c)

linear

d)

quadratic

Answer Key

Algebra 1 Graphing Functions Jan 10

Total questions: 10

1.
a)

square root

2.
a) Exponential Growth
3.
b)

No

4.
a)

No

5.
b)

square root

6.
d)

Quadratic

7.
a) (−1, 3)
8.
c)

Absolute Value

9.
b)

absolute value

10.
d)

quadratic

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FAQs

What does this Algebra 1 graphing functions worksheet cover?

This Grade 9 worksheet uses 10 multiple-choice questions to help students classify square root, exponential, quadratic, and absolute value functions from graphs and equations. Students also distinguish exponential growth from other graph types, determine whether a pictured function crosses the x-axis, and identify the vertex of a parabola.

How can I use this worksheet to teach function families?

Introduce the four function families by having students compare their visual features and notation before assigning the multiple-choice items. Ask students to explain why an equation such as f(x) = -4|x + 2| + 5 is absolute value and why the parabola’s vertex is the selected ordered pair, rather than relying only on recognition.

What mistakes should I watch for on this graphing functions worksheet?

Students may confuse square root, quadratic, and absolute value graphs when they focus on general shape without checking the equation or defining feature. Watch for reversed vertex coordinates, misclassification of exponential growth as linear, and selecting a function family from a familiar symbol without interpreting the complete expression.

How do I assign and grade this graphing functions worksheet?

You can use this worksheet as a printable PDF or assign it as a digital quiz on Wayground. It includes a complete answer key, and printable student work can be graded by scanning it with the Wayground for Teachers app.

How can I differentiate this function-identification worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing and font size so the graph labels, equations, and multiple-choice options are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language while keeping the function-identification format intact.

Where can I find more free worksheets like this on Wayground?

Wayground offers a broad collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to support essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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