More on Functions and Their Graphs

1
More on Functions and Their Graphs

• Section 1.3

2
Objectives

• Calculate and simplify the difference quotient
  for a given function.
• Calculate a function value for a piece-wise
  function.
• Determine on which intervals a function is
  increasing, decreasing, or constant given the
  graph of a function.
• Find the maxima and minima of a function given
  its graph.
• Determine if a function is even, odd, or neither.
  

3
Vocabulary

• piece-wise function
• difference quotient
• even function
• odd function
• increasing (as related to a function)
• decreasing (as related to a function)

4
Determine the indicated values of the function
5
Find and simplify the difference quotient for the
function below.
6
Determine on which intervals the function is
increasing, decreasing, or constant.
7
Determine on which intervals the function is
increasing, decreasing, or constant.
8
Consider the function with
.  Find the absolute maximum and absolute
minimum of the graph.
9
Consider the function with . 
Find the absolute maximum and absolute minimum
of the graph.
10
Is the function even, odd, or neither.