Question

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

Answer 1

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]}