TBIL-Precal Functions (FN)

Chapter 2 Functions (FN)

How do we express relationships between two quantities?

By the end of this chapter, you should be able to...

Determine if a relation, equation, or graph defines a function using the definition as well as the vertical line test.
Use and interpret function notation to evaluate a function for a given input value and find a corresponding input value given an output value.
Use the graph of a function to find the domain and range in interval notation, the $x$ - and $y$ -intercepts, the maxima and minima, and where it is increasing and decreasing using interval notation.
Apply transformations including horizontal and vertical shifts, stretches, and reflections to a function. Express the result of these transformations graphically and algebraically.
Find the sum, difference, product, quotient, and composition of two or more functions and evaluate them.
Find the inverse of a one-to-one function.

Before beginning this chapter, you should be able to...

Use interval notation to represent sets of numbers given graphically and in inequality form.
- Review and Practice: Khan Academy
  ¹
  www.chilimath.com/lessons/intermediate-algebra/interval-notation-practice-problems-with-answers/
Evaluate an expression at a particular value.
- Review and Practice: Khan Academy
  ²
  www.khanacademy.org/math/algebra/x2f8bb11595b61c86:foundation-algebra/x2f8bb11595b61c86:intro-variables/v/variables-and-expressions-1
Apply order of operations.
- Review and Practice:Khan Academy
  ³
  www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-multiply-and-divide/cc-7th-order-of-operations/v/introduction-to-order-of-operations
Plot points on the coordinate plane.
- Review and Practice: Khan Academy
  ⁴
  www.khanacademy.org/math/cc-sixth-grade-math/x0267d782:coordinate-plane/cc-6th-coordinate-plane/v/the-coordinate-plane
Simplify an expression by combining like terms.
- Review and practice: Khan Academy
  ⁵
  www.khanacademy.org/math/algebra/x2f8bb11595b61c86:foundation-algebra/x2f8bb11595b61c86:combine-like-terms/v/combining-like-terms
Rewrite an equation in terms of another variable.
- Review: Khan Academy
  ⁶
  www.khanacademy.org/math/algebra-home/alg-basic-eq-ineq/alg-old-school-equations/v/solving-for-a-variable
- Practice: IXL
  ⁷
  www.ixl.com/math/algebra-2/rearrange-multi-variable-equations