Topics
5. Exponential & Piecewise Functions
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United States of AmericaTennessee
Integrated Math 2

5.02 Exponential models

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

What is the type of function shown in the table?

$x$x $1$1 $2$2 $3$3 $4$4 $5$5 $6$6
$f\left(x\right)$f(x) $5$5 $25$25 $125$125 $625$625 $3125$3125 $15625$15625

Exactly exponential

A

Approximately exponential

B

Not exponential

C
Easy
< 1min

What is the type of function shown in the table?

Easy
< 1min

The following graph represents what sort of function?

Easy
< 1min

The following graph represents what sort of function?

Easy
< 1min
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Outcomes

M2.N.Q.A.1

Use units as a way to understand real-world problems.*

M2.N.Q.A.1.A

Choose and interpret the scale and the origin in graphs and data displays.

M2.N.Q.A.1.C

Define and justify appropriate quantities within a context for the purpose of modeling.

M2.A.SSE.A.1.B

Interpret complicated expressions by viewing one or more of their parts as a single entity.

M2.A.CED.A.2

Create equations in two variables to represent relationships between quantities and use them to solve problems in a real-world context. Graph equations with two variables on coordinate axes with labels and scales, and use the graphs to make predictions.*

M2.F.IF.A.1

Use function notation.*

M2.F.IF.A.1.A

Use function notation to evaluate functions for inputs in their domains, including functions of two variables.

M2.F.IF.A.1.B

Interpret statements that use function notation in terms of a context.

M2.F.IF.C.7

Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.*

M2.F.IF.C.7.B

Know and use the properties of exponents to interpret expressions for exponential functions in terms of a real-world context.

M2.MP1

Make sense of problems and persevere in solving them.

M2.MP2

Reason abstractly and quantitatively.

M2.MP3

Construct viable arguments and critique the reasoning of others.

M2.MP4

Model with mathematics.

M2.MP5

Use appropriate tools strategically.

M2.MP6

Attend to precision.

M2.MP7

Look for and make use of structure.

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