Linear, Quadratic, and Exponential Models

### Lessons for this standard

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### Related standards

- This standard is part of: HS.F-LE
- This standard is derived from: CCSS.Math.Content.HSF-LE.A

#### More specific sub-standards

Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a table, a description, or two input-output pairs given their relationship.

Identify situations that can be modeled with linear, quadratic, and exponential functions.

Justify the most appropriate model for a situation based on the rate of change over equal intervals. Include situations in which a quantity grows or decays.

Use logarithms to express the solution to ππ to the ππ‘ power = π where π, π, and π are real numbers and π is a positive real number. Evaluate the logarithm using technology when appropriate.

Compare the end behavior of linear, quadratic, and exponential functions using graphs and/or tables to show that a quantity increasing exponentially eventually exceeds a quantity increasing as a linear or quadratic function.

#### Similar standards elsewhere

Construct and compare linear, quadratic, and exponential models and solve problems

Linear, Quadratic & Exponential Models: Construct and compare linear, quadratic, and exponential models and solve problems.

Construct and compare linear, quadratic, and exponential models and solve problems.

Construct and compare linear, quadratic and exponential models and solve problems.