Question

Which combination results in an exponential function?

A. the sum of a quadratic function and a logarithmic function
B. the product of two quadratic functions
C. the difference of an exponential function and a constant function
D. the product of two linear functions

Answer 1

The combination of difference of an exponential function and a constant function results in an exponential function.

Answer: Option C

Explanation:

Exponential functions are functions whose degree of change is not constant when we use a percentage change, that is, the degree to which a variable increases or decreases. They have the form f(x) =
`b^(x)`, where b > 0 and b ≠ 1.

Just as in any exponential expression, 'b' is called the base and 'x' is called the exponent. An example of an exponential function is the growth of bacteria. Some bacteria double every hour. So, if we add or subtract any constant function from an exponential function then its nature will be same as before.