# vertical asymptote in a sentence

1) The graph of this function does intersect the vertical asymptote once, at (0,5).

2) To find vertical asymptotes, look for any circumstance that makes the denominator of a fraction equal zero.

3) In this case, the curve has vertical asymptotes and this limits the span to π"c".

4) vertical asymptotes are vertical lines (perpendicular to the "x"-axis) near which the function grows without bound.

## vertical asymptote example sentences

5) vertical asymptotes almost always occur because the denominator of a fraction has gone to 0, but the top hasn't.

6) A rational function has at most one horizontal asymptote or oblique (slant) asymptote, and possibly many vertical asymptotes.

7) The second type of asymptote is the vertical asymptote, which is also a line that the graph approaches but does not intersect.

8) Unlike asymptotes for curves that are graphs of functions, a general curve may have more than two non-vertical asymptotes, and may cross its vertical asymptotes more than once.

9) For example, the following function has vertical asymptotes at "x" = 0, and "x" = 1, but not at "x" = 2.

10) The vertical asymptotes occur only when the denominator is zero (If both the numerator and denominator are zero, the multiplicities of the zero are compared).

11) A common example of a vertical asymptote is the case of a rational function at a point x such that the denominator is zero and the numerator is non-zero.

12) Moreover, if a function is continuous at each point where it is defined, it is impossible that its graph does intersect any vertical asymptote.

13) It is impossible for the graph of a function to intersect a vertical asymptote (or a vertical line in general) in more than one point.

14) Also keep in mind that trigonometric functions can go to zero repeatedly, so in the equation y=sec(x), there are many vertical asymptotes:

### example sentences with asymptote

15) has a limit of +∞ as, "ƒ"("x") has the vertical asymptote, even though "ƒ"(0) = 5.

16) The line "x" = "a" is a " vertical asymptote" of the graph of the function if at least one of the following statements is true:

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