Grade 9 · Math · Algebra 1

9th grade Is it a function? Vertical line test, and reading values from graphs and tables worksheet

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Is it a function? Vertical line test, and reading values from graphs and tables

Grade 9 Math Worksheet - Challenge Me

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

Read this first
Table for f
input w: weeks output f(w): dollars
0 5
1 8
2 11
3 14
Luz adds two clubs' savings. Club A saves f(w) dollars after w weeks (see the table). Club B saves g(w) = 3w + 2 dollars. What is f(3) + g(3)?
Milo adds two clubs' savings. Club A saves f(w) dollars after w weeks (see the table). Club B saves g(w) = 5w − 1 dollars. What is f(4) + g(4)?
Noah adds two clubs' savings. Club A saves f(w) dollars after w weeks (see the table). Club B saves g(w) = 2w + 8 dollars. What is f(3) + g(3)?
Ren plots a V-shaped ski run. The graph shows f(x). For how many inputs x is f(x) = 4?
Tala plots a bumpy trail. The graph shows f(x). For how many inputs x is f(x) = 5?
Zee plots a tree's zigzag shadow. The graph shows f(x). For how many inputs x is f(x) = 4?
Ari plots a tent's roof line. The graph shows f(x). For how many inputs x is f(x) = 5?
Bo's robot follows the relation x² + y² = 25 (x is the input). How many y-values go with x = 3?
Esme's lamp follows the relation x² + y² = 25 (x is the input). How many y-values go with x = 5?
Kira's rocket follows the relation y² = x (x is the input). How many y-values go with x = 9?

input w: weeks	output f(w): dollars
0	5
1	8
2	11
3	14

9th grade Is it a function? Vertical line test, and reading values from graphs and tables worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Is it a function? Reading values from graphs and tables. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can tell from a graph or an equation whether each input has only one output.
I can read f(2) from a graph, and find the input for a given output.
I can finish a table from a rule and add values from a table and a rule.

Standard: F-IF.A.1, F-IF.A.2

Words to know

vertical line test: Slide a vertical line across the graph; two touches on one line mean not a function.

relation: Any rule or list that pairs inputs with outputs.

function: A relation where each input has exactly one output.

f(x) = c: The inputs whose output is c.

Common mistakes

Your child checked only that each input has an output and missed two dots on one up-and-down line.

Your child thought two inputs with the same output break a function.

Your child thought a function must be a straight line.

What to say

Ask: does any vertical line touch the graph twice?

Ask: does any one input have two different outputs?

Ask: must every function be straight, or only give one output for each input?

Questions parents ask

What is the most common mistake with is it a function? vertical line test, and reading values from graphs and tables?

Your child checked only that each input has an output and missed two dots on one up-and-down line.

How can I help my child with is it a function? vertical line test, and reading values from graphs and tables?

Ask: does any vertical line touch the graph twice?

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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