Evaluating a Function
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Part of video series
Lesson Description:
Understand what it means to EVALUATE a function in terms of an output prediction. Be able to actually evaluate a function numerically or symbolically (including composition) given a full functional form. Be able to use your calculator to evaluate a function.
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Additional Resources:
- Problem Set - A problem set for this lesson.
- Evaluating a function 1 - An explanation and problem set for evaluating a function at a number
- Function Notation - Introduction to function notation
- Evaluating a function 2 - More practice problems evaluating a function at a number
- Composition of Functions 1 - An introduction to the composition of functions
- Composition of Functions 2 - Composition of functions explanation / practice problems
- Composition of Functions 3 - An explanation of what composition of functions means
- Composition of Functions 4 - A practice problem set for writing compositions of functions
Questions answered by this video:
- How do you evaluate a function at a function?
- What is the composition of functions and how do you input one function into another function?
- If R(t) = 3t + 7 and G(a) = 4a, what is R(G(a))?
- How can you determine when demand will be greatest if you lower and raise the price of a product?
- How can you graph a composition of functions using a TI graphing calculator?
- How can you solve a composition of functions problem to find the time of greatest demand using the table on a TI graphing calculator?
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Staff Review
This lesson explains composition of functions by putting one function into another function. A couple of example cases are shown and explained in depth, and many web resources and a problem set accompany this lesson to help you understand this sometimes confusing concept. All steps involved in this process are explained in detail. A TI graphing calculator is used to solve a composition of functions problem.
