# 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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