contestada

An investment group compares returns on an account
against the function represented in the table, where x is the
time in years and f(x) is the total return on investment.
Which describes the function over the interval given in the
table?
Ñ…
a decreasing quadratic function
an increasing quadratic function
a decreasing exponential function
an increasing exponential function
0
5
f(x)
10,000
12,201.90
14,888.64
22,167.15
10
20

Respuesta :

Answer:

d

Step-by-step explanation:

edge2020

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

https://brainly.com/question/27307412

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