Question

Review the graph of the function f(x).

On a coordinate plane, a curve starts at closed circle (1, negative 2) and curves up through (0, 1) to (negative 5, 2).

The function shown has an endpoint discontinuity. Which statement describes the one-sided limits at the discontinuity?

Answer 1

Answer:

b

Step-by-step explanation:

edg 2020

Answer 2

'Function' is described as 'a relation in which each component of the domain is related to precisely one component of the codomain.'

B). The statement second "Limit of f(x) = - 2 as x approaches 1 minus. Limit of f(x) DNE as x approaches 1+" correctly elaborates the single-sided limits when the end-point dislocates.

• 'End-point discontinuity' is described as a function that carries a shut endpoint at its interlude.
• While 'one-sided limits' are described as the limit(any out of the two) belonging to a function (x) when x advances towards either side(left or right). Thus, it limits x and the rest values remain the same.
• In the given function, the one-sided limit of the function(x) equals to -2 when it advances towards -1 and DNE when it advances towards 1+.

Thus, option B is the correct answer.

Learn more about 'function' here:

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