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# Functions: Linear, Quadratic, and Exponential Models550 questions30 skills

## HSF-LE.A.1

80 questions4 skills
Distinguish between situations that can be modeled with linear functions and with exponential functions.

## HSF-LE.A.1a

Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.
Skills for this standard are coming soon.

## HSF-LE.A.1b

80 questions4 skills
Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.

## HSF-LE.A.1c

96 questions5 skills
Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.

## HSF-LE.A.2

327 questions18 skills
Construct 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).

## HSF-LE.A.3

13 questions1 skill
Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.

## HSF-LE.A.4

24 questions1 skill
For exponential models, express as a logarithm the solution to abct = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology.

## HSF-LE.B.5

150 questions8 skills
Interpret the parameters in a linear or exponential function in terms of a context.