# Graphing Exponential Functions-Problems and Solutions #### Type II ### Problem ### Solution  ### Problem ### Solutions The graph of function y=2-x is shown above. The properties of the exponential function and its graph when the base is between 0 and 1 are given.

• The line passes through the point (0,1)
• The Domain consists of all real numbers
• The Range consists of all y>0
• The Graph represents a decreasing function
• The Graph is Asymptotic to the x-axis (y=0)
• As x approaches positive infinity, the functions heads to zero
• The line increases without bound as x approaches negative infinity
• It is a continuous Graph
• There are no breaks in the Graph.

#### Why we dont take the value of a = 1 or any Negative values? Leave your replies in the comment box #### Foremost, let us draw the following table for values of x, as follows, and then plot the points for the Graph ### Question 2 #### As always, let us design the table for this function, taking values for x = -1,0,1,2,3,4  #### Domain: All Real numbers Range: All y>0 y=0, will still be an Asymptote for this graph    ### Try these Questions ### Problem ### Solution    ### Try the following questions on Exponential functions

Simplify : 2 x – 2 x + 1
Hint:  – 2 x
Simplify: 3 x + 2 × 3 x + 2 × 3 x + 1

### Simplify the following   