F-LE: F-LE

F-LE

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F-LE.1Distinguish between situations that can be modeled with linear functions and with exponential functions.F-LE.2Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).F-LE.3Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.F-LE.4For exponential models, express as a logarithm the solution to ab^ct = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology.F-LE.5Interpret the parameters in a linear or exponential function in terms of a context.
Example Problems
The value of a stock increases by per year. If the initial value is , what will it be after 6 years?
Find an explicit formula, , for the arithmetic sequence:
Maria and Lucia own land.

Lucia began with
11 hectares during the first month, and gained 5 more hectares each month.

Maria owned
6 hectares during the first one, and her land multiplied by a factor of each month.

After which month will Maria's amount of land first exceed Lucia's amount of land?
What is the inverse of the function?
Does the function model exponential growth or decay?
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