Key Concepts
- A function (f(x)) is a rule that assigns one output for each input.
- Function notation (f(a)) means evaluating the function at (x = a).
- Real-world functions model various scenarios, such as population growth or revenue prediction.
Skills Covered
- Substituting values into a function to compute outputs.
- Interpreting function outputs in real-world contexts.
Example Problems
- Given (f(x) = 3x^2 - 2x + 5), find (f(4)).
- A function models the population of a city: (P(t)), where t is years after 2000. What does (P(10) = 500,000) mean?