1.3 Graphs of Functions

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

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

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

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

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

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.