Section 2.3 Properties of Functions
2/1/2011
Section 2.3 Properties of Functions
For an even function, for every point (x, y) on the graph, the point (-x, y) is also on the graph.
1
2/1/2011
So for an odd function, for every point (x, y) on the graph, the point (-x, -y) is also on the graph.
Determine whether each graph given is an even function, an odd function, or a function that is neither even nor odd.
2
2/1/2011
3
2/1/2011
Where is the function increasing?
Where is the function decreasing?
Where is the function constant?
4
2/1/2011
5
2/1/2011
6
2/1/2011
7
2/1/2011
8
2/1/2011
Suppose that g ( x ) = −2 x 2 + 4 x − 3.
9
2/1/2011
Is the function shown below even, odd or neither?
A) even B) odd C) neither
Is the function below increasing, decreasing or constant on the interval (0, 1)?
A) increasing B) decreasing C) constant
10
Section 2.3 Properties of Functions
For an even function, for every point (x, y) on the graph, the point (-x, y) is also on the graph.
1
2/1/2011
So for an odd function, for every point (x, y) on the graph, the point (-x, -y) is also on the graph.
Determine whether each graph given is an even function, an odd function, or a function that is neither even nor odd.
2
2/1/2011
3
2/1/2011
Where is the function increasing?
Where is the function decreasing?
Where is the function constant?
4
2/1/2011
5
2/1/2011
6
2/1/2011
7
2/1/2011
8
2/1/2011
Suppose that g ( x ) = −2 x 2 + 4 x − 3.
9
2/1/2011
Is the function shown below even, odd or neither?
A) even B) odd C) neither
Is the function below increasing, decreasing or constant on the interval (0, 1)?
A) increasing B) decreasing C) constant
10
