If f(x) is an odd function and the graph of f(x) includes points in Quadrant IV, which statement about the graph of f(x) must be true?

AIt includes points in Quadrant I.
BIt includes points in Quadrant II.
CIt does not include points in Quadrant I.
DIt does not include points in Quadrant II.

A function is such that f(−x) =−f (x) where the sign is reversed but the absolute value remains the same if the sign of the independent variable is reversed.

So,

The points in quadrants II are in IV.

The points in quadrants I are in III.

From the question, we understand that graph includes the points in IV.

This means that these points are also in quadrant II.

Hence, the graph of f(x) must include points in quadrants II and IV.

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If f(x) is an odd function and the graph of f(x) includes points in Quadrant IV, which statement about the graph of f(x) must be true? AIt includes points in Quadrant I.BIt includes points in Quadrant II.CIt does not include points in Quadrant I.DIt does not include points in Quadrant II.

Verified Answer :

What is an odd function?

Related Questions

If f(x) is an odd function and the graph of f(x) includes points in Quadrant IV, which statement about the graph of f(x) must be true?

AIt includes points in Quadrant I.
BIt includes points in Quadrant II.
CIt does not include points in Quadrant I.
DIt does not include points in Quadrant II.