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 - Challenge Me

NameDate

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

Read this first
Growth table
x y
0 3
2 12
4 48
Ari measures a plant pattern only on even days. The values are exponential, but the inputs skip. What function fits the table? Start with y =.
Bo records a star pattern every other round. The values are exponential, but the inputs skip. What function fits the table? Start with y =.
Esme checks a jar puzzle every second step. The values are exponential, but the inputs skip. What function fits the table? Start with y =.
Jun checks a clock puzzle every second step. The values are exponential, but the inputs skip. What function fits the table? Start with y =.
Luz knows f is exponential, with f(1) = 10 and f(3) = 40. Every value is positive. What is f? Start with y =.
Milo knows f is exponential, with f(1) = 10 and f(3) = 250. Every value is positive. What is f? Start with y =.
Noah knows f is exponential, with f(1) = 24 and f(3) = 384. Every value is positive. What is f? Start with y =.
Pia drops a play ball from 120 cm. Each bounce reaches 1/2 of the height before it. What function gives the height after x bounces? Start with y =.
A school chess tournament starts with 64 players, and half are left after each round. What function gives the players Ren sees left after x rounds? Start with y =.
Zee's bouncy ball reaches 90 cm on bounce 1, and each bounce is 1/2 as high as the one before. What function gives the height after x bounces? Start with y =.

x	y
0	3
2	12
4	48

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.

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