Grade 9 · Math · Algebra 1

9th grade Evaluate and graph an exponential function worksheet

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Evaluate and graph an exponential function

Grade 9 Math Worksheet

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

Luz's tile art starts with 5 tiles, and each round splits every tile into 4. After x rounds there are f(x) = 5 · 4^x tiles. What is f(3)?
Noah's class phone tree reaches f(x) = 6 · 3^x new families in round x. What is f(4)?
A science video in Pia's class models f(x) = 48 · 2^x bacteria x hours after noon. What is f(-3), the count 3 hours before noon?
Ren's math-club rule is g(x) = 75 · 5^x. What is g(-2)?
Tala's homework rule is h(x) = 6 · 2^x. What is h(-2)?
6.
Ari plots points from a pattern that multiplies by the same factor each step. Which function matches the graph?
- y = 6 · 2^x
- y = 3x + 3
- y = 2 · 3^x
- y = 3 · 2^x
7.
Bo plots points from a pattern that multiplies by the same factor each step. Which function matches the graph?
- y = 3 · 4^x
- y = 12 · 3^x
- y = 4 · 3^x
- y = 8x + 4
8.
Esme plots points from a pattern that multiplies by the same factor each step. Which function matches the graph?
- y = 10 · 2^x
- y = 5x + 5
- y = 2 · 5^x
- y = 5 · 2^x
9.
Luz studies g(x) = 3 · 4^x. What is the range of g?
- y ≥ 3
- all real numbers
- y ≥ 0
- y > 0
10.
Ren studies g(x) = 10 · 2^x in math club. What is the domain of g?
- all real numbers
- x ≥ 0
- y > 0

9th grade Evaluate and graph an exponential function worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

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

What your child will learn

I can find f(x) = a · b^x for whole and negative inputs.
I can read the start, the domain and the range, and name the line the graph gets close to.
I can match a graph of dots to its exponential rule.

Standard: F-IF.A.2, F-IF.C.7e, F-IF.B.5, F-LE.A.1

Words to know

exponential function: A rule y = a · b^x: start at a, multiply by b each step.

starting value (y-intercept): The output when x = 0; it is a.

growth factor: The number b on every arrow of the table.

domain: All the inputs (x-values) the rule can use.

range: All the outputs (y-values) the rule gives.

asymptote: A line the graph gets closer and closer to but never touches.

Common mistakes

Your child multiplied the two numbers in the rule before using the power.

Your child multiplied by the input instead of using it as a power.

Your child used the factor the right way but stopped one step early.

What to say

Ask: which number does the power belong to?

Ask: what does the small raised number tell you to do?

Ask: how many arrows are there from the row x = 0 to the row you need?

Questions parents ask

What is the most common mistake with evaluate and graph an exponential function?

Your child multiplied the two numbers in the rule before using the power.

How can I help my child with evaluate and graph an exponential function?

Ask: which number does the power belong to?

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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