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Chapter 2 Functions (FN)
Objectives
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.
Evaluate an expression at a particular value.
Apply order of operations.
Plot points on the coordinate plane.
Simplify an expression by combining like terms.
Rewrite an equation in terms of another variable.
