More Graphs

Example 1

Discuss the behavior of ( ) and make its graph.

Solution .

The y-intercept is (0, 50), the domain is ( ), the range is ( ), the function is increasing, and as x approaches , y approaches zero.

Example 2

Graph and and point out the differences.

Solution .

For the y-intercept is (0, 2) instead of (0, 1). The range is ( ) rather than

( ). As x approaches , y approaches 1 instead of 0.

Example 3

Graph and and discuss any differences.

Solution .

The graph of is the graph of shifted 1 unit to the right. The y-intercept of is (0, 2) intead of (0, 1).

Example 4

Graph

Solution .

Example 5

Graph

Solution .

You may have seen a graph with a shape similar to this one in statistics.

Example 6

Graph and on the same coordinate system. Where do these curves intersect? Which one is bigger?

Solution .

Both curves intersect at (0, 1). When x > 0, is larger. When x < 0, is larger.