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2 years ago

Consider the function f(x)=c/x Where c is a nonzero real number brainly

Mathematics

2 answers:

Dovator [93]2 years ago

5 0

Answers:

The vertical asymptote is x = 0

The horizontal asymptote is y = 0

The domain is all real nonzero numbers

The range is all nonzero real numbers

EXPLANATIONS

Given the function f(x) = c/x

c is a real non-zero number

To determine the vertical asymptote, we set the denominator equal to 0

f(x)=c/x

The denominator is x

x = 0

To determine the horizontal asymptote, we have to compare the degrees of the polynomials in the numerator and denominator.

The numerator contains a zero degree polynomial

The denominator contains a first degree polynomial.

<span> The polynomial in the numerator is of a lower degree than in the denominator, therefore, the horizontal asymptote is located at y=0.</span>

Since the vertical asymptote is at x = 0, the domain is all real numbers except for x = 0

Since the horizontal asymptote is at y = 0, the range is all real numbers except for y = 0

swat322 years ago

3 0

Answer:

The vertical asymptote is x = 0

The horizontal asymptote is y = 0

The domain is all real nonzero numbers

The range is all nonzero real numbers

Step-by-step explanation: edg 2020

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