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The horizontal asymptote for y = 0 when the degree is greater than the denominator, resulting in the inability to do long division.
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What is another way to write y equals 0 on a graph?
Y=0 is nothing more than a horizontal line along the X axis.
Is y equals 2 to the x power a linear equation?
If you mean y = 2^x, then no, it is not a linear equation. This is an exponential equation. The graph of this exponential equation would start out near zero on the left-hand side (there is a horizontal asymptote at y = 0) and would gradually increase as you move to the right: overall, it has a curved shaped. If you mean y = 2x, then yes, it is a linear equation.
Graph the line y equals 3?
A horizontal line crossing the y axis at 3.
Y equals 2x and y equals 2x-1?
Which means 0 = -1!
When a vertical asymptote is reflected over the x axis what does it become?
It remains a vertical asymptote. Instead on going towards y = + infinity it will go towards y = - infinity and conversely.
What is the horizontal asymptote of y equals 2 to the power of x?
It is y = 0
What is the horizontal asymptote of y equals x divided by x2 plus 2x plus 1?
y = x / (x^2 + 2x + 1) The horizontal asymptote is y = 0
Which function has the following a vertical asymptote at x equals -4 horizontal asymptote at y equals 0 and a removable discontinuity at x equals 1?
2x-2/x^2+3x-4
What is the domain range asymptote and intercept of the equation y equals 4 times 2 exponent x?
y = 4(2x) is an exponential function. Domain: (-∞, ∞) Range: (0, ∞) Horizontal asymptote: x-axis or y = 0 The graph cuts the y-axis at (0, 4)
For all values of a and b that make Fx equals a bx a valid exponential function the graph always has a horizontal asymptote at y equals 0?
True
Does y equals log5x have an asymptote?
Yes, the asymptote is x = 0. In order for logarithmic equation to have an asymptote, the value inside log must be 0. Then, 5x = 0 → x = 0.
What is the horizontal asymptote of f x equals x squared minus 9 divided by x squared minus 4?
y = 1. When the degree of your numerator is the same with the degree of your denominator, then y = the ratio of the leading coefficients of the numerator and denominator is the horizontal asymptote.
How do you find the horizontal asymptote in a graph of a rational function?
The horizontal asymptote is what happens when x really large. To start with get rid of all the variables except the ones with the biggest exponents. When x is really large, they are the only ones that will matter. If the remaining exponents are the same, then the ratio of those coefficients tell you where the horizontal asymptote is. For example if you have 2x3/3x3, then the ratio is 2/3 and the asymptote is f(x)=2/3 or y=2/3. If the exponent in the denominator is bigger, than y=0 is the horizontal asymptote. If the exponent in the numerator is bigger, than there is no horizontal asymptote.
What is the meaning of asymptote?
An asymptote is the tendency of a function to approach infinity as one of its variable takes certain values. For example, the function y = ex has a horizontal asymptote at y = 0 because when x takes extremely big, negative values, y approaches a fixed value : 0. Asymptotes are related to limits.
How do you find the horizontal asymptote of a logarithmic function where x equals 7.5 and y equals 50?
One point on a logarithmic graph is not sufficient to determine its parameters. It is, therefore, impossible to answer the question.
Y equals 4 is a horizontal line with?
Y = 4 is a horizontal line with zero slope. dy/dx = 0
What is the slope of y equals 4?
Zero. Y=4 is a horizontal line.
