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6.02 Exponential models

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

MA.912.AR.1.1

Identify and interpret parts of an equation or expression that represent a quantity in terms of a mathematical or real-world context, including viewing one or more of its parts as a single entity.

MA.912.AR.5.4

Write an exponential function to represent a relationship between two quantities from a graph, a written description or a table of values within a mathematical or real-world context.

MA.912.AR.5.5

Given an expression or equation representing an exponential function, reveal the constant percent rate of change per unit interval using the properties of exponents. Interpret the constant percent rate of change in terms of a real-world context.

MA.912.AR.5.7

Solve and graph mathematical and real-world problems that are modeled with exponential functions. Interpret key features and determine constraints in terms of the context.

MA.912.DP.2.9

Fit an exponential function to bivariate numerical data that suggests an exponential association. Use the model to solve real-world problems in terms of the context of the data.

MA.912.F.1.1

Given an equation or graph that defines a function, determine the function type. Given an input-output table, determine a function type that could represent it.

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