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
