Answer:
the correct answer is a. U-shaped curve.
Step-by-step explanation:
The correct answer is a. U-shaped curve.
When an odd exponent is used in a graph, the resulting curve will have a U-shaped pattern. This is because odd exponents introduce a change in direction in the graph at the x-intercept, causing the curve to bend.
For example, if we have the function f(x) = x^3, the odd exponent 3 indicates that the graph will have a U-shaped curve. As x-values become more positive or more negative, the function values increase or decrease respectively, resulting in the U-shape.
It's important to note that this U-shaped curve is symmetric with respect to the origin (0,0) and not with respect to the y-axis. This means that if you reflect the left side of the curve over the y-axis, it will match the shape of the right side.
Therefore, the correct answer is a. U-shaped curve.
