To find a vertical asymptote, first write the function you wish to determine the asymptote of. Most likely, this function will be a rational function, where the variable x is included somewhere in the denominator. As a rule, when the denominator of a rational function approaches zero, it has...
To find a vertical asymptote, first write the function you wish to determine the asymptote of. Most likely, this function will be a rational function, where the variable x is included somewhere in the denominator. As a rule, when the denominator of a rational function approaches zero, it has...
Find the horizontal asymptote of the following function: First, notice that the denominator is a sum of squares, so it doesn't factor and has no real zeroes. In other words, this rational function has no vertical asymptotes. So we're okay on that front. ...
Find the vertical asymptotes of the function: \frac{x^2+2}{4x-5x^2} Find the vertical asymptotes of the function f(x) = \frac{x^4 - 4x^3 -x^2 - 4}{2x^3-2} Find the vertical asymptotes of the function y = \frac{8x^2 + 1}{9x - 8x^2} Find all vertical asymptotes of ...
Step 2:Find all vertical asymptotes. A vertical asymptote is a vertical linex=cthat the graph of the function cannot touch. The graph will instead get closer to this line, but either go up or down infinitely and never touch the line. ...
Find the vertical asymptotes (if any) of f (x) = {x^2 - 2} / {x^2 - x - 2}. Find the vertical asymptote(s) of 4 / {x^2}. Find the vertical asymptotes. f(x) = 2x - 6 / x + 7 How do you find the vertical asymptotes of a polynomial? Explain how to locate vertical...
The slant (or oblique) asymptote for that rational function is a straight (but not horizontal or vertical) line that shows where the graph goes, off to the sides.How do you find the slant (or oblique) asymptote?To find the slant asymptote, do the long division of the numerator by the ...
= (x – 2) / (x^2 – x – 2). When graphing rational equations, two important features are the asymptotes and the holes of the graph. Use algebraic techniques to determine the vertical asymptotes and holes of any rational equation so that you can accurately graph it without a calculator...
In trigonometry, the period of a function refers to the distance of a function's wave. Learn how to find the period of a trig function by exploring...
Find the asymptotes vertical, horizontal, and slant and draw dotted lines to break the graph along those lines and ensure that the graph does not touch them. Create a table of values by taking some random x values (on both sides of the x-intercept and on both sides of the vertical asymp...