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Note: Type "2^x" without quotes to indicate [tex]2^x[/tex]

When you graph this function, you'll see that we have the exponential curve sloping upward as x increases. The function increases upward without bound. In other words, it goes on forever upward. There are no restrictions on the "ceiling" so to speak of this function curve.

There is a floor though. The floor in this case is like an electric fence that the function never touches. It only gets closer. This is known as the "horizontal asymptote". In this case, the horizontal asymptote is the line y = 0 which lays perfectly over the x axis.

So because of this "fence", the function is bounded below. It does not go forever in the negative y direction.

Final Answer: Choice B) Bounded below

The function y = 2× is bounded below from the graph option (B) bounded below is correct.

What is an exponential function?

It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a^x

where a is a constant and a>1

It is given that a function:

y = 2×

The function can be defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

As we can see from the above function is an exponential function.

The exponential function cannot give negative output.

From the graph of a function we can say:

The x-intercept of the function is zero

The y-intercept is at  y = 1

domain of the function: (-∞, ∞)

The range of a function: (0, ∞)

Thus, the function y = 2× is bounded below from the graph option (B) bounded below is correct.

Learn more about the exponential function here:

brainly.com/question/11487261

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