Mathematics: 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.

Actually it equals -2Have a great day!...

Several ordered pairs from a continuous exponential

javontiye226

05.01.2022

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

$y=4 e^{\frac{x}{4.50}}$

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.

$e^{\frac{x}{4.50}=\frac{y}{4}}\\\ \frac{x}{4.5}=\log\frac{y}{4}\\\\ x=4.5\log\frac{y}{4}$

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.

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