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that's simple an equation is settled of asymptotes so if you know the asymptotes... etc etc

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The graph of the equation below is a hyperbola What are the slopes of the hyperbolas asymptotes?

7/12 and 7/12 is the answer


What do the asymptotes represent when you graph the tangent function?

When you graph a tangent function, the asymptotes represent x values 90 and 270.


What is the equation of the asymptote of the graph of?

To determine the equation of the asymptote of a graph, you typically need to analyze the function's behavior as it approaches certain values (often infinity) or points of discontinuity. For rational functions, vertical asymptotes occur where the denominator equals zero, while horizontal asymptotes can be found by comparing the degrees of the numerator and denominator. If you provide a specific function, I can give you its asymptote equations.


How many vertical asymptotes does the graph of this function have?

2


The hyberbola gets very close to the red line on the graph but never touches. which term describes each of the red lines?

They are called asymptotes.


How do you find horizontal and vertical asymptotes?

finding vertical asymptotes is easy. lets use the equation y = (2x-2)/((x^2)-2x-3) since its a rational equation, all we have to do to find the vertical asymptotes is find the values at which the denominator would be equal to 0. since this makes it an undefined equation, that is where the asymptotes are. for this equation, -1 and 3 are the answers for the vertical ayspmtotes. the horizontal asymptotes are a lot more tricky. to solve them, simplify the equation if it is in factored form, then divide all terms both in the numerator and denominator with the term with the highest degree. so the horizontal asymptote of this equation is 0.


How do you graph tan squared x?

To graph ( \tan^2(x) ), start by plotting the basic ( \tan(x) ) function, noting its vertical asymptotes at ( x = \frac{\pi}{2} + n\pi ) (where ( n ) is an integer). Since ( \tan^2(x) ) represents the square of the tangent function, it will only take non-negative values and will exhibit a parabolic shape between each pair of asymptotes. The graph will have zeros at ( x = n\pi ) and will approach infinity as it nears the vertical asymptotes. Finally, the graph is periodic with a period of ( \pi ).


What is the relationship between the hyperbola equation and the equation for the hyperbola asymptotes?

If the equation of a hyperbola is ( x² / a² ) - ( y² / b² ) = 1, then the joint of equation of its Asymptotes is ( x² / a² ) - ( y² / b² ) = 0. Note that these two equations differ only in the constant term. ____________________________________________ Happy To Help ! ____________________________________________


Is it possible for graph of function to cross the horizontal assymptotes?

When you plot a function with asymptotes, you know that the graph cannot cross the asymptotes, because the function cannot be valid at the asymptote. (Since that is the point of having an asymptotes - it is a "disconnect" where the function is not valid - e.g when dividing by zero or something equally strange would occur). So if you graph is crossing an asymptote at any point, something's gone wrong.


How do you find asymptotes of a graph?

Asymptotes occur in places where the equation is not valid E.g the equation (1-2x)/x is not valid when x=0 (otherwise you'd be dividing by zero, which is not allowed). Thus there is a asymptote along the x-axis. If you have an equation in a similar form to the one above (i.e a/b) , look at the denominator (b) and work out where it is not valid. This is generally the easiest method of finding asymptotes. Other ways include "trial and error" - subbing in numbers and finding the place where it becomes mathematically impossible to have the equation running along that point. Sometimes it is easier to sub a few numbers into the equation to begin with, and draw a sketch of where you think it goes. This should highlight areas /how many asymptotes to expect; after that you just have to find out exact locations.


There is a relationship between the in the hyperbola's equation and the equations for the hyperbola's asymptotes?

denominators


How do you find the equation of a graph?

You find the equation of a graph by finding an equation with a graph.