The asymptotes of a function differ from each other depending upon the type of function given. These asymptotes are undefined lines of the graph which the graph approaches but never meets.Answer and Explanation: We are given the function {eq}f(x)=\tan(x) {/eq}. We want to find the a...
In particular, the equation y=atan(bx) is the graph of the tangent function with a vertical stretch by a factor of a and horizontal compression by a factor of b.Answer and Explanation: The typical graph of the tangent function has vertical asymptotes at...
The asymptotes for the graph of the tangent function are vertical lines that occur regularly, each of them π, or 180 degrees, apart. ... This is because those points< every 180 degrees starting at 90, are where the cosine function is equal to 0. Conversely an has an identity: tanθ=...
Find the vertical asymptotes (if any) of the graph of the function. g (theta) = {tan theta} / {theta}Explore our homework questions and answers library Search Browse Browse by subject Ask a Homework Question Tutors available × Our tutors are standing by Ask a question and one of our...
How many asymptotes does y = 3tan(x/4) have on the closed interval from -3pi to 3pi? Find the horizontal and vertical asymptotes of the graph of the function: g(x) = 4x^3 + x^2 + 10. Find the horizontal and vertical asymptotes of the graph of the function....
How does asymptotes affect the graph of a function? Vertical asymptotes are "holes" in the graph where the function cannot have a value. They stand for places where the x-value is not allowed. Specifically,the denominator of a rational function cannot be equal to zero. Any value of x that...
If the angle between the asymptotes of hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 is 120^0 and the product of perpendiculars drawn from the foci upon its any tang
Find all horizontal asymptotes for the graph of {eq}\displaystyle f (x) = \frac {5 x + 2} {\sqrt {3 x^2 + 1} \tan^{-1} \bigg(\frac {8 x^2 + 1} {x + 1}\bigg)} {/eq}. Asymptotes through Limits: We need to find t...
Determine the vertical asymptotes of the graph of the function. f(x)=x+15x2−21x+4 Rational Functions and Asymptotes: A rational function will be a quotient of polynomials, which means there will be a polynomial function in the denominator. Wherever this denominator b...
Domain & Range of Rational Functions | Definition & Graph from Chapter 4 / Lesson 7 99K Learn how to find the domain and range of a rational function. See graphs of rational functions and asymptotes. View examples of the algebra operations. Related...