Functions: Linear, Quadratic, and Exponential Models Archive

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…

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

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

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

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

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

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