Find all values of x at which the functions f(x) is discontinuous. Classify each point of discontinuity as removable, jump, or infinite. Determine the intervals on which f(x) is continuous. a. (-\inft Find all
How do you find the removable discontinuity of a function? If there is a common factor in the numerator and the denominator of a rational function, set that factor equal to zero and solve for x. Plug the x-value into the reduced form of the fraction to get the y-value of the hole....
IDENTIFYING POINTS OF DISCONTINUITY (NON-REMOVABLE)Use the following rational function.y=(x+4)/(x^2-x-12)What is the domain of the rational function? 相关知识点: 试题来源: 解析 all real numbers except x = 4 and x =-3 反馈 收藏 ...
Find all values of x at which the functions f(x) is discontinuous. Classify each point of discontinuity as removable, jump, or infinite. Determine the intervals on which f(x) is continuous. a. (-\inft Determine whether the discontinuity at the ...
Removable discontinuity appears at some values of {eq}x {/eq} in a rational function {eq}f(x) {/eq} where the function is discontinuous. But, we have to keep in our sense that all discontinuous {eq}x {/eq}-values are not removable....
The discontinuities of a rational function, can be removable discontinuities or non-removable discontinuities. The non-removable discontinuities in these functions are infinite jump discontinuities.Answer and Explanation: The given function is a rational function, these...
Rational Functions Rational functions are functions which are ratios of polynomials. Rational functions often have vertical asymptotes, horizontal asymptotes, holes (or removable singularities), and slant asymptotes....
A removable discontinuity example as a graph can be created by defining a blip in the graph, such as the function f(x) = x^2 - 1. This discontinuity is marked as 2 at the point x = 4. Redefining the function can remove the discontinuity, as f(x) = 15 at x = 4. This results...
A function of the form f(x)=p(x)q(x), where p(x) and g(x) are polynomials is continuous in the full real axis, except for the points where q(x)=0. The discontinuities can be removable or infinity. If the numerator and denominator have common zeros,...
Consider the following. f(x) = (x + 8)/(x^2 - x - 72). Find the x-value (if any) at which f is not continuous. Is the discontinuity removable? Find all values of x at which the functions f(x) is discontinuous. Classify each point of...