Describe the behavior of the graph shown.

Question

A.
As the input increases, the output decreases for all values of x.
B.
As the input increases, the output increases for all values of x.
C.
As the input increases, the output decreases at first until it reaches a minimum. After the minimum, the output increases as the input increases.
D.
As the input increases, the output increases at first until it reaches a maximum. After the maximum, the output decreases as the input increases.

Answer 1

To describe the behavior of a graph based on the options provided, we need to identify key characteristics of the graph, focusing on how the output (y-value) changes with respect to the input (x-value).

1. Option A: This suggests a monotonically decreasing function, where the output consistently drops as the input increases.

2. Option B: This describes a monotonically increasing function, where the output consistently rises as the input increases.

3. Option C: Here, the graph exhibits a U-shape, starting with a decrease in output as the input increases up to a certain point (the minimum), and then increasing thereafter.

4. Option D: This describes an inverted U-shape or a peak, where the output increases with the input until it reaches a maximum point, after which it decreases.

To determine the correct option, you would need to analyze the specific graph in question:

• If the graph trends downward for all values of x, choose A.
• If it trends upward for all values of x, choose B.
• If it decreases to a minimum point and then increases, choose C.
• If it increases to a maximum point and then decreases, choose D.

Without seeing the actual graph, I can’t determine which option describes it accurately. Choose the option that aligns with the visible pattern in the graph you are analyzing.