Chapter 1 Review

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Chapter 1 Review
Pre-Calc Review Calculus
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The Graph of a Function
Figure P.27
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What is the domain of this function
Domain (-8, 2) U (2, -2) U (-2, 8) Basically
all real numbers except 2 or -2
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Find the domain and range of this function

• The domain of the function

is the set of all x-values for which x 1 0,
which is the interval 1, ). To find the
range, observe that is never negative.
So, the range is the interval 0, )
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Find the domain and range of this function

• The domain is the set of all x-values such that

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One to one Function

• A function from X to Y is one-to-one if to each
  y-value
• in the range there corresponds exactly one
  x-value in the
• domain.
• You can use the Horizontal Line Test

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Find the domain of each function
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Find the range of each function
Domain (-8, 8) Range (0, 1
Domain (-8, 8) Range 0, 2
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Classifications and Combinations of Functions

• Two functions can be combined in various ways to
  create
• new functions. For example, given
• you can form the functions shown
• You can combine two functions in yet another way,
  called
• composition. The resulting function is called a
  
• composite function.

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Graphing a Piecewise Function
Graph the function.
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Even and Odd Functions
Determine if the function is even, odd, or
neither.
Even function
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Even and Odd Functions
Determine if the function is even, odd, or
neither.
Odd function
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The Graph of a Function
Finding the Domain and Range of a Function.

1. Use the graph of the function f to find the
   domain of f.

1. Find the value of f(-2), and f(2).

1. Find the range of the graph.

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Zeros of a Function
Finding Zeros of a Function.
Find the zeros of each function.
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Zeros of a Function
Finding Zeros of a Function.
Find the zeros of each function.
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Zeros of a Function
Finding Zeros of a Function.
Find the zeros of each function.
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