Objectives
BIG IDEA for the chapter goes here, in outcomes/main.ptx
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.