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Functions: Linear, Quadratic, and Exponential Models

550 questions30 skills


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


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


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


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.


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.