#### To determine

**To find:**

(a) Write a equation that defines the exponential function.

(b) Domain of the function.

(c) Range of the function.

(d) Sketch the graphs of the exponential.

#### Answer

(a) The exponential function is y=bx .

(b) All real number is the domain.

(c) See the graph

#### Explanation

a) An equation which represents the exponential equation is as follows:

y=bx, b>0

b) The above equation is defined for all real numbers, therefore

**Domain**: the set of all real numbers.

c) For b≠1, Range is the set of all positive real numbers, as you can see from the following figures:

Note that for b=1, i.e., the range for y=1x is the singleton set {1}.

d) (i)

(ii)

(iii)

**Conclusion:**

(a) The exponential function is y=bx .

(b) All real number is the domain.

See the graph