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.
Readiness Assurance.
Before beginning this chapter, you should be able to...
Use interval notation to represent sets of numbers given graphically and in inequality form.
