Grade 9 · Math · Algebra 1

9th grade Write an exponential function from a table, graph or story worksheet

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Write an exponential function from a table, graph or story

Grade 9 Math Worksheet

NameDate

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

Read this first
Growth table
x y
0 3
1 12
2 48
3 192
Pia tracks a seed swap where each round brings in 4 times as many seeds. What function fits the table? Start with y =.
Ren counts sunflower seeds in a pattern game. What function fits the table? Start with y =.
Ari's rocket-club graph shows a pattern. What function fits the graph? Start with y =.
Esme's graph shows a shrinking pattern. What function fits the graph? Start with y =.
Jun's graph shows another shrinking pattern. What function fits the graph? Start with y =.
Growth table
x y
1 6
2 18
3 54
4 162
Kira's bell-ringing game table starts at x = 1. What function fits the table? Start with y =.
Luz's bike-club table starts at x = 1. What function fits the table? Start with y =.
Noah's train-game table starts at x = 1. What function fits the table? Start with y =.
A video-game coin is worth 4 points at level 0, and its value triples each level. Pia wants its value at level x. What function gives it? Start with y =.
Zee folds a stack of 6 sheets in half again and again. Each fold doubles the layers. What function gives the layers after x folds? Start with y =.

x	y
0	3
1	12
2	48
3	192

x	y
1	6
2	18
3	54
4	162

9th grade Write an exponential function from a table, graph or story worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Write exponential functions. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can find the start and the growth factor from a table, a graph or a story.
I can write the function as y = a(b)^x.
I can do it when the table starts at x = 1 or skips inputs, or from two points.

Standard: F-LE.A.2, F-BF.A.1a

Words to know

starting amount: The value at x = 0; the a in y = a(b)^x.

growth factor: What every step multiplies by: next value ÷ this value.

ratio of neighbors: One value divided by the value just before it.

exponential function: y = a(b)^x: start at a and multiply by b each step.

Common mistakes

Your child found the difference between rows in a table that multiplies.

Your child divided the earlier value by the later one, so the factor came out upside down.

Your child used the first value shown as the starting amount, but it was not at x = 0.

What to say

Ask: what do you multiply one row by to get the next?

Ask: what do you multiply the first value by to get the next one?

Ask: what is the value one step before the first row?

Questions parents ask

What is the most common mistake with write an exponential function from a table, graph or story?

Your child found the difference between rows in a table that multiplies.

How can I help my child with write an exponential function from a table, graph or story?

Ask: what do you multiply one row by to get the next?

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

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