# How do you graph the exponential function #f(x) =2^x#?

##### 1 Answer

Jan 24, 2016

see explanation below.

#### Explanation:

By choosing suitable values for x and calculating the

corresponding value of y . Then plot the points on squared

paper. Finally draw a 'smooth' curve through them.

x=0 :

# y = 2^0 =1 rArr (0 , 1 ) #

x = 1 :# y = 2^1 = 2 rArr (1 , 2 )#

x = 2 :# y = 2^2 = 4 rArr (2 , 4 )#

x = 3 :# y = 2^3 = 8 rArr (3 , 8 ) # You can use negative values of x .

# x = -1 : y = 2^-1 = 1/2 rArr (-1 , 1/2 ) #

# x = -2 : y = 2^-2 = 1/4 rArr ( -2 , 1/4 ) #

Here is the graph of# 2^x#

graph{2^x [-8.89, 8.89, -4.444, 4.444]}