Question

Use the image to solve the problem below.

the vertex is inbetween 0 and 1


The function shown in the graph is:

(1 point)
Responses

Odd
Odd

Both Even and Odd
Both Even and Odd

Even
Even

Neither Even nor Odd

Answer 1

To determine whether a function is even, odd, or neither, we can use the following definitions:

1. A function \( f(x) \) is **even** if \( f(-x) = f(x) \) for all \( x \) in the domain of \( f \). This means the graph is symmetric with respect to the y-axis.

2. A function \( f(x) \) is **odd** if \( f(-x) = -f(x) \) for all \( x \) in the domain of \( f \). This means the graph is symmetric with respect to the origin.

Without the specific graph to analyze, here are some general guidelines:

- If the graph is symmetric about the y-axis, it is even.
- If the graph is symmetric about the origin, it is odd.
- If the graph does not exhibit either symmetry, it is neither.

Since you've noted that "the vertex is between 0 and 1," it is likely that the function has some form of symmetry. However, without seeing the graph, I cannot definitively determine whether the function is even, odd, or neither.

If you describe the graph or provide key features, I can help determine the classification of the function.