Question

Find the asymptote of y = log x​

Answer 1

Answer:

The vertical asymptotes occur at areas of infinite discontinuity. Ignoring the logarithm, consider the rational function R(x)=axnbxm R ( x ) = a x n b x m where n is the degree of the numerator and m is the degree of the denominator. 1. If n<m , then the x-axis, y=0 , is the horizontal asymptote

What is the asymptote of y log x?

As x increases, y will continue to increase. Thus, we can safely say there is no horizontal asymptote. The domain of the graph y = log (x) is therefore (0, ∞) and the range of the graph is (-∞, ∞). The x-intercept is located at x = 1, there is no y-intercept, and there is a vertical asymptote at x = 0.

Answer 2

Answer:

The asymptote of y = log x is x = 0.

Step-by-step explanation:

• The domain and range of the graph y = log (x) are (0,∞ ) and (-,∞ ), respectively.
• There is no y-intercept, a vertical asymptote at x = 0, and the x-intercept at x = 1.

• In analytic geometry, an asymptote of a curve is a line along which, as one or both of the x or y coordinates go to infinity, the distance between the curve and the line approaches zero.
• An asymptote of a curve is a line that is tangent to the curve at a point at infinity in projective geometry and similar contexts.
• Asymptotes come in three varieties: oblique, vertical, and horizontal.
• Horizontal asymptotes are horizontal lines that the function graph approaches as x tends to +∞ or −∞ for curves generated by the graph of a function y = (x).
• Vertical asymptotes are points where the function increases unboundedly.
• The graph of the function approaches an oblique asymptote as x tends to +∞ or −∞, as it has a slope that is non-zero yet finite.

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