Question
Which function has a graph with a horizontal asymptote at y = -1.
The correct answer is: y = 1/1 = 1
Hint:-
- If both the polynomials have the same degree, divide the coefficients of the leading terms. This is your asymptote.
- If the degree of the numerator is less than the denominator, then the asymptote is located at y = 0 (which is the x-axis).
If the degree of the numerator is greater than the denominator, then there is no horizontal asymptote
Solution:-
a) Horizontal asymptote is given by
As both the polynomials have the same degree, divide the coefficients of the leading terms.
y = 
= 1
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Slope: The slope of a line indicates how sharp it is and is calculated by dividing the distance that a point on the line must travel horizontally and vertically to reach another point. Y-Intercept: Y-Intercept is the point at which the graph crosses the y-axis. From the Given Equation, the parallel lines can be written as 3x-9y=15 and y=mx-4. If the corresponding angles are equal, the two lines are considered parallel.
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Parallel-Line: Two or more lines present in the same plane but never crossing each other are said to be parallel lines. They don't have anything in common.
Perpendicular-Line: Perpendicular lines are two lines that meet at an intersection point, which form 4 right angles.
Slope: The slope of a line indicates how sharp it is and is calculated by dividing the distance that a point on the line must travel horizontally and vertically to reach another point. Y-Intercept: Y-Intercept is the point at which the graph crosses the y-axis. From the Given Equation, the parallel lines can be written as 3x-9y=15 and y=mx-4. If the corresponding angles are equal, the two lines are considered parallel.
