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Which of the following are properties of the graph of an odd monomial function? Select all that apply.

  • When a > 0, the graph has no minimum or maximum point.
  • When a > 0, the graph is in Quadrants I and II.
  • When a > 0, the graph is always decreasing.
  • When a < 0, the graph has no minimum or maximum point.
  • When a < 0, the graph is in Quadrants II and IV.
  • When a < 0, the graph is always increasing.
  • As | a | increases, the graph becomes narrower.
  • As | a | decreases, the graph becomes narrower.

Verified Answer :

Answer:

1,4,5,7

Step-by-step explanation:

Answer:

- When a > 0, the graph has no minimum or maximum point

- When a < 0, the graph has no minimum or maximum point.

- When a < 0, the graph is in Quadrants II and IV

- As | a | increases, the graph becomes narrower

Step-by-step explanation:

An odd monomial function has the next form: a*x^n, where a is a constant and n is odd.

- When a > 0, the graph has no minimum or maximum point. True, that is because the graph is always increasing

- When a > 0, the graph is in Quadrants I and II. False, the graph is in Quadrants I and III
. If Quadrants I and II were used, the function would not be odd

- When a > 0, the graph is always decreasing. False, the graph is always increasing

- When a < 0, the graph has no minimum or maximum point.  True, that is because the graph is always decreasing

- When a < 0, the graph is in Quadrants II and IV.  True, because is the opposite case than a > 0.

- When a < 0, the graph is always increasing.  False, it is always decreasing

- As | a | increases, the graph becomes narrower. True, for example, f(x) = x^3, for x = 2, f(x) = 8; f(x) = 2x^3, for x = 2, f(x) = 16; and the graph narrows

- As | a | decreases, the graph becomes narrower. False, see above item

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