Respuesta :
Option D is correct. The exponential function is increasing when time goes and the total return on investment.
What is exponential function?
An exponential function is of the form aˣ where 'a' is the base of the function and 'x' is the power of the function.
What is quadratic function?
A quadratic function is" a polynomial function with one or more variables in which highest exponent of variable is 2".
According to the question,
Let 'x' is the time in years and f(x) is the total return on investment. The below table shows the function over the interval.
x f(x)
a decreasing quadratic function 10,000
an increasing quadratic function 12,201.90
a decreasing exponential function 14,888.64
an increasing exponential function 22,167.15
Quadratic function f(x) = ax² +b x +c a > 0
- A decreasing quadratic function is the vertex of the parabola lies on the axis parabola. The graph of the function is increasing at one side of the axis and decreases at other side of the axis. Clearly it shows as time in years change does not give maximum total return on investment.
- An increasing quadratic function the vertex of the parabola lies on the axis parabola. The graph of the function is increasing at one side of the axis and decreases at other side of the axis. Clearly it shows change in time in years does not give maximum total return on investment.
Exponential function f(x) = a. bˣ +q
- The exponential function is decreasing when a < 0 and 0 ≤ b < 1. Then the function f(x) is decreasing exponential function. Clearly it shows time goes, total return on investment is not maximum.
- The exponential function is increasing when a > 0 and b > 1. Then the function f(x) is increasing exponential function. Clearly it shows time goes, total return on investment is maximum.
Hence, the exponential function is increasing when time goes and the total return on investment.
Learn more about exponential function here
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