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What are the domain and range of f(x) = 2(3X)?
domain: (-00,00); range (0,00)
O domain: (-00,00); range: (2,00)
domain: (0,0); range: (-0,0)
domain: (2.00); range: (-00,00)

Respuesta :

Answer: Choice A

Domain: [tex](-\infty,\infty)[/tex]

Range: [tex](0,\infty)[/tex]

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Explanation:

I'm assuming the function is [tex]f(x) = 2(3)^x[/tex] which is an exponential function.

The domain of any exponential function is the set of real numbers. In interval notation, the domain is [tex](-\infty, \infty)[/tex] which says we can pick any number between negative infinity and positive infinity: aka any number we want. There are no restrictions to worry about such as division by zero errors.

The range of this exponential function is the set of y values such that y > 0. It often helps to see the graph of what is going on (see below). Note how as x heads to the left, and gets more negative, the curve approaches the x axis. It never actually touches it however. So it will never reach y = 0 itself but instead just get very close. The inequality y > 0 translates to the interval notation [tex](0,\infty)[/tex]

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Summary:

Domain: [tex](-\infty,\infty)[/tex];  Range: [tex](0,\infty)[/tex]

So that's why the answer is choice A

Ver imagen jimthompson5910
Martebi

The domain and range of f(x) = 2(3X) is  domain: (-00,00); range (0,00)

where 00 =∞,

How can one find the domain and range of a function?

To find the domain and range, one can solve the given equation y = f(x) to know the values of the independent variable x and to get the domain.

To solve for the range of the function, we use the expression x where x=g(y) and then we can look for the domain of g(y).

An example of domain and range is using the relation {(0,7),(0,8),(1,7),(1,8),(1,9),(2,10)} .

The domain of the set of x -coordinates, given above is  {0,1,2} , and the range of the set of y -coordinates given above is  {7,8,9,10} .

Looking at the function  f(x)=2^(3x), it is an exponential function, and there is no form of restrictions for the independent variable "x" in the exponent. So therefore, the Domain of f(x) is said to be all the real numbers:

Domain f(x) = ( - Infinity, Infinity).

Learn more about domain from

https://brainly.com/question/10064464

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