1. 1.3 Graphs of Functions

2. Find domain and range using a graph.
Graph f(x) = x2+x +2, then use the graph to find the domain and range of the function.
First find f(0), (which is the y-intercept)
Now find domain and range using the graph
Now make a table: x y

3. First find f(0), (which is the y-intercept)
Graph f(x) = , then use the graph to find the domain and range of the function.
First find f(0), (which is the y-intercept)
Now find domain and range using the graph
Now make a table: x y

4. First find f(0), (which is the y-intercept)
Graph f(x) = , then use the graph to find the domain and range of the function.
First find f(0), (which is the y-intercept)
Now find domain and range using the graph
Now make a table: x y

5. First find f(0), (which is the y-intercept)
Graph f(x) = | 2x+1|, then use the graph to find the domain and range of the function.
First find f(0), (which is the y-intercept)
Now find domain and range using the graph
Now make a table: x y

6. Graph f(x) = ,then use the graph to find the
domain and range of the function.
First find f(0), (which is the y-intercept)
Now find domain and range using the graph
Now make a table: x y

7. Even and Odd functions
A function is even if f(-x)=f(x)
A function is odd if f(-x)=-f(x)
1. Example: Show that f(x)=x6 -2x2+3 is even, odd or neither.
2. Example: Show that f(x)=x3-5 is even, odd or neither.
3. Example: Show that f(x)=x5 -2x is even, odd or neither.
4. b)Now find a second point on the graph of an odd function given (-1,3) is on the graph of the function.
4. a)Find a second point on the graph of an even function given (-1,3) is on the graph of the function.