Question

Help me with this please #17

Answer 1

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Answer:

  C. symmetric with respect to the origin

Step-by-step explanation:

A graph must pass the vertical line test to be called the graph of a function. No function will ever be symmetrical with respect to the x-axis, because that would mean it fails the vertical line test.

An even function is symmetrical about the y-axis. An even function has the characteristic that ...

  f(-x) = f(x) . . . . an even function

An odd function is symmetrical about the origin. An odd function has the characteristic that ...

  f(-x) = -f(x)

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The given function is f(x) = -1/x. Then the value of f(-x) is ...

  f(-x) = -1/-x = 1/x = -f(x)

The given function is an odd function, so is symmetrical about the origin.