Which of the following types of functions cannot have "all real numbers" as either its domain or its range? Exponential function Quadratic function Linear function Inverse Variation function

Question

Mathematics

Owen Thompson

22 January, 22:48

Which of the following types of functions cannot have "all real numbers" as either its domain or its range? Exponential function Quadratic function Linear function Inverse Variation function

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Fernando Holt · Answer 1

The domain of the function are all possible values (x values) which are suitable for the function. The range are all possible y values, when we have already defined the domain.

For the exponential function:The domain of exponential functions is all real numbers. And the range are all real numbers greater than zero.

For the quadratic function: The domain is all real numbers, and the range is all real numbers f (x) such that f (x) ≤ 4.

For the linear function: Domain and range all real numbers.

For the inverse variation function (hyperbola) : two asymptotes are excluded from the domain of all real numbers and one excluded from the range.

So, according to these, the exponential function, the quadratic function and the inverse variation function cannot have "all real numbers" as either its domain or its range. Only the linear has.