(a)

The exponential function with base  , is defined as

, where is a rational number.

(b)

Domain of the function is set of numbers for which the function is mathematicaally correct.

Since is valid for every .

Domain of the exponential function is all real numbers.

(c)

Range is the output of the function

Range of the exponential function is .

(d)

(i)

Graph the function , for .

Consider .

Graph the function .

.

(ii)

Graph the function , for .

Graph the function .

(iii)

Graph the function , for .

Consider .

Graph the function .

(a) , where is a rational number.

(b) Domain of the exponential function is all real numbers.

(c) Range of the exponential function is .

(d)

Graph the function , for .

Graph the function , for .

Graph the function , for .