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## Which statement is true about the discontinuities of the function f(x)? f(x)=x^2-4/x^3-x^2-2x There is a hole at x = 2. There are asymptotes at x = 0 and x = 1. There are

SOLUTION: Which statement is true about the discontinuities of the function f(x)?

f(x)=x^2-4/x^3-x^2-2x

There is a hole at x = 2.

There are asymptotes at x = 0 and x = 1.

There are

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-> SOLUTION: Which statement is true about the discontinuities of the function f(x)?

f(x)=x^2-4/x^3-x^2-2x

There is a hole at x = 2.

There are asymptotes at x = 0 and x = 1.

There are

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Question 810016: Which statement is true about the discontinuities of the function f(x)?

f(x)=x^2-4/x^3-x^2-2x

There is a hole at x = 2.There are asymptotes at x = 0 and x = 1.There are asymptotes at x = 0 and x = 1 and a hole at mc012-2.jpg.There are holes at x = 0 and x = 1 and an asymptote at x = 2.

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Answer by stanbon(75887) (Show Source):

You can put this solution on YOUR website! Which statement is true about the discontinuities of the function f(x)? f(x)=x^2-4/x^3-x^2-2x ——Factor::f(x) = [(x-2)(x+2)]/[x(x-2)(x+1)]—–

There is a hole at x = 2. TRUEThere are asymptotes at x = 0 and x = 1.TRUEThere are asymptotes at x = 0 and x = 1 and a hole at x = 2. TRUEThere are holes at x = 0 and x = 1 and an asymptote at x = 2. FALSE==================Cheers,Stan H.==================

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find the x-values at which f is not continuous. which of the… – If the function factors and the bottom term cancels, the discontinuity at the x-value for which the denominator was zero is removable, so the graph About the Book Author. Mary Jane Sterling aught algebra, business calculus, geometry, and finite mathematics at Bradley University in Peoria, Illinois…Continuity And Discontinuity. A function is continuous if it can be drawn without picking up the pencil; otherwise, it is discontinuous. the limit of f(x) as x approaches a from either direction is equal to f(a), as long as a is in the domain of f(x). If this statement is not true, then the function is discontinuous.A function f is said to be continuously differentiable if the derivative f'(x) exists and is itself a continuous function. I am confused with this statement as we know : Function is differentiable in its domain The passage in question is saying that the derivative has an essential discontinuity, not the original…

What are the types of Discontinuities, Explained with graphs… – The function f(x) will be discontinuous at x = a in either of the following situations: 1. lim x→a- f(x) and lim x→a+ f(x) exist but are not equal. A function is said to possess non-removable discontinuity if the limit of the function does not exist. Which of the following statements is true?The graph of a function f is shown above. Which of the following statements about f is false? 77. Let f be the function given by f(x) = 3e2x and let g be the function given by g(x) = 6×3. At what value of x do the graphs of f and g have parallel tangent lines?In order to find out where your holes and asymptotes are is to factor both the top and the bottom of that rational function. So since there is an (x-2) in both the numerator and denominator, that is called a removable discontinuity which we also know as a hole.