Distinguish between situations that can be modeled with linear functions and with exponential functions.
- Linear, Quadratic and Exponential Functions
- Construct and compare linear, quadratic and exponential models and solve problems.
Distinguish between situations that can be modeled with linear functions and with exponential functions.
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Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.
Recognize and justify that linear functions grow by equal differences over equal intervals and that exponential functions grow by equal factors over equal intervals.
Linear functions have the same average rate of change over same-sized intervals; the same value is added to the output over each interval. In contrast, the outputs of exponential functions grow or decay by the same percent over same-sized intervals; the same value is multiplied by the output over each interval.
Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.
Distinguish between situations that can be modeled with linear functions and with exponential functions.
Distinguish between situations that can be modeled with linear functions or exponential functions by recognizing situations in which one quantity changes at a constant rate per unit interval as opposed to those in which a quantity changes by a constant percent rate per unit interval.
Distinguish between situations that can be modeled with linear functions or exponential functions by recognizing situations in which one quantity changes at a constant rate per unit interval as opposed to those in which a quantity changes by a constant percent rate per unit interval.
Distinguish between situations that can be modeled with linear functions and with exponential functions.
Distinguish between situations that can be modeled with linear functions and with exponential functions.