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3 votes
5. Which parent function is undefined at x =
0?

2 Answers

2 votes

Final answer:

The parent function undefined at x = 0 is y = 1/x, which features an asymptote at this value because division by zero is undefined.

Step-by-step explanation:

The parent function that is undefined at x = 0 is the reciprocal function y = 1/x. This function is not defined at x = 0 because division by zero is undefined in mathematics. As x approaches zero, the value of y grows without bound, exhibiting a characteristic known as an asymptote. The term asymptote refers to a line that a graph approaches but never actually reaches. In the case of the reciprocal function, both the x-axis and the y-axis serve as asymptotes. Other functions may also have asymptotes or be undefined at certain points, but the reciprocal function is a classic example taught in algebra that specifically illustrates this concept at x = 0.

User RajenK
by
8.8k points
4 votes

Answer:

0 divided by 5 defined

Step-by-step explanation:

There is NO solution, so any non-zero number divided by 0 is undefined.

User ThePavolC
by
8.1k points

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