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Why do functions with vertical asympotes sometimes have a numerator of x and other times numerator of 1?
This is because whether a function has a vertical asymptote (VA) or not is not affected by the numerator. The denominator is where the VA originates when you try to divide by 0. For example, y=x/(x-1) and and y=1/(x-1) BOTH have VAs when the denominator is equal to zero. x-1=0 when x=1, so that's where the VA is, regardless of the numerator.
What else can I help you with?
How do you tell if a function with a vertical asympote has a numerator of 1 or a numerator of x?
If there are no coordinates given then you cannot.
Do all rational functions have holes?
Not all rational functions have holes. A rational function is a ratio of two polynomials, and holes occur at points where both the numerator and denominator equal zero, indicating a common factor. If a rational function has no common factors between the numerator and denominator, it will not have any holes, although it may have vertical asymptotes or other features.
Do all lines represent functions?
No. Vertical lines are not.
Are vertical angles alway sometimes or never supplementary?
sometimes
How are linear equations and functions alike?
They are not. A vertical line is not a function so all linear equations are not functions. And all functions are not linear equations.
How do you tell if a function with a vertical asympote has a numerator of 1 or a numerator of x?
If there are no coordinates given then you cannot.
What is the vertical line called separating the numerator from the denominator?
It's called a vinculum.
Are all functions linear?
yes yes No, vertical lines are not functions
Are all equations functions?
yes yes No, vertical lines are not functions
Are all linear equations functions?
yes yes No, vertical lines are not functions
Do all lines represent functions?
No. Vertical lines are not.
Vertical angles are always sometimes or never complimentary?
Sometimes
Are vertical angles alway sometimes or never supplementary?
sometimes
Why are soil layers sometimes vertical?
== ==
Why does your computer screen have vertical lines on it sometimes?
If your computer screen has vertical lines on it sometimes your monitor or graphics card may be dying.
How are linear equations and functions alike?
They are not. A vertical line is not a function so all linear equations are not functions. And all functions are not linear equations.
Are vertical angles also supplementary?
Sometimes but not always.
