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
The function below has a removable discontinuity atx=2x=2. Redefine the function so that itbecomes continuousatx=2x=2. f(x)=x2−2xx2−4f(x)=x2−2xx2−4 Solution The graph of the function is shown below for reference.
What are examples of removable discontinuity? A removable discontinuity occurs if there is a single point missing in a curve. This occurs in rational functions such as (x+1)/(x^-1). This can be simplified to 1/(x-1) but there is a removable discontinuity at x=-1 since the un-simpli...
A function f(x) is continuous at x = a when itslimitexists at x = a and is equal to the value of the function at x = a. i.e., limₓ → ₐ f(x) = f(a) Are Exponential Functions Continuous? Yes, exponential functions are continuous as they do not have any breaks, holes...
Types of Discontinuities When is a Function Discontinuous? How To Find Discontinuity of a Function Lesson Summary Frequently Asked Questions What are the 4 types of discontinuity? There are three types of discontinuity. They are the removable, jump, and asymptotic discontinuities. (Asymptotic disconti...
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Removable Discontinuity: A single point on the curve has been removed. Also called a hole. Infinite Discontinuity: An asymptote that the functions approaches infinitely but never reaches. This could be vertical or horizontal. Jump Discontinuity: There is a jump between two pieces of the curve resu...
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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...