Several ordered pairs from a continuous exponential function are shown in the table. what are the domain and range of function?

a. the domain is the set of integers, and the range is y = 4.

b. the domain is the set of integers, and the range is y = 0.

c. the domain is the set of real numbers, and the range is y = 0.

d. the domain is the set of real numbers, and the range is y = 4.

Answer with Explanation:

The points when plotted on two dimensional plane, forms a continuous exponential function curve

x     0      1       2             3

y      4     5      6.25    7.8125

If you plot the points on the coordinate plane and try to find the exponential function,the function can be written as

Domain of a function is defined as set of x values ,for which y is defined.

For,every real value of x , y is defined.

→Domain = Set of real numbers=(-∞,∞)

Range of a function is defined as set of y values ,for which x is defined.

Log of any function is defined for , positive real numbers that is numbers between 0 to ∞.

→Range =(0,∞).

So,→ domain of the function is Set of Real numbers and Range is y>0.

None of the option among four options is true.