Plug the value x = 0 into the rational function and determine the value of f(x) to find the y-intercept of the function. For example, plug x = 0 into the rational function f(x) = (x^2 – 3x + 2) / (x – 1) to get the value (0 – 0 + 2) / (0 – 1), which is ...
as "x" approaches infinity and "y" approaches 0 for the function "y=1/x" — "y=0" is the horizontal asymptote. You can save time in finding horizontal asymptotes by using your TI-83 to create a table of "x" and "y" values of the function, and observing trends in ...
Find the slant asymptote of the following function: y=x2+3x+2x−2y=x−2x2+3x+2 To find the slant asymptote, I need to do the long division: x +5x−2)x2+3x+2‾x2−2x‾5x+25x−10‾12x+5x+2x−2)x2+3x000+02x2−2x+025x+025x−1012 I need to ...
Find the horizontal asymptote of. Now that I know the rules about the powers, I don't have to do a table of values or draw the graph. I can just compare exponents. In this rational function, the highest power in each of the numerator and the denominator is the same; namely, the cub...
In this article we will cover Construction of a Function Graph, Steps to graph a function, Steps to graph a function. Graphing functions is the process of drawing a curve that represents a function on a coordinate plane. If a function is represented by a
How do you find the limit of a function? To find the limit of a function, use either the direct substitution or factoring method. Direct substitution is best when there is no break, jump, or vertical asymptote at the set value c. It involves substituting the value c for x in the fun...
it has a vertical asymptote. Once you've written out your function, find the value of x that makes the denominator equal to zero. As an example, if the function you're working with is y = 1/(x+2), you would solve the equation x+2 = 0, an equation which has the answer x = ...
Learn what a difference quotient is. Learn how to identify the difference quotient. Find the difference quotient for example equations using the...
Average Value of a Function Basic Operations on Functions Check the Continuity of a Function Decompose a Composite Function Eliminate exponents How to Find Intercepts Intersection of Two Lines How to Enter Data into a List TI89 Optimization Problems Quadratic Formula Related Rates Relation vs Function...
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 the function Find all vertical asymptote(s) (if any) for the following fu...