Chapter 1 - Examples of Problem in Homework 2 and Workshop Examples


Example 1.
Sketch the following function and clearly state when its crosses the x-axis and y-axis
(if indeed it does) and give its value when x = 5. 

The y -intercept is when y = -10, it does not crosses the x -axis and when x = 5, y = -320
 
Q3b 

Example 2. State the Domain (possible values of x) and Range (possible values of y)
for  the function  and  clearly state where the graph crosses the x and y axes.
 
Graph of the function 

There is an asymptope as the function approaches values of x equal negative big (infinity) - the asymptote is y = 0, so there is no x-intercepts; however there is a y-intercept of y = 3 when x = 0.

The y-int:(0, 3)

No x-intercepts

Example 3. State the Domain and Range of the function  and state where
the graph crosses the x and y axes.
 
Domain: x > 0

Range - all values of y

Note: The graph of the function does not cross either axis.