# Functions: Linear, Quadratic, and Exponential Models Archive

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• ### MI.Math.Content.HSF-LE.A.1

Distinguish between situations that can be modeled with linear functions and with exponential functions.*

• ### MI.Math.Content.HSF-LE.A.1a

Prove that linear functions grow by equal differences over equal intervals and that exponential functions grow by equal factors…

• ### MI.Math.Content.HSF-LE.A.1b

Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.*

• ### MI.Math.Content.HSF-LE.A.1c

Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to…

• ### MI.Math.Content.HSF-LE.A.2

Construct and compare linear, quadratic, and exponential models and solve problems. Construct linear and exponential functions, including arithmetic and…

• ### MI.Math.Content.HSF-LE.A.3

Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more…

• ### MI.Math.Content.HSF-LE.A.4

For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and d are…

• ### MI.Math.Content.HSF-LE.B.5

Interpret the parameters in a linear or exponential function in terms of a context.*