Question

image long description
if this graph is periodic, what would you expect to see for x-values less
than -2 and greater than 20?
(1 point)
the waves may continue, but their shape and spacing could change
unpredictably.
it is impossible to know what the graph would look like outside of what
is pictured.
the graph would continue in the directions shown. both ends would
point down.
the exact same pattern would repeat itself from both the left and the
right.

Explanation:

A periodic graph has a repeating pattern at regular intervals. By definition, for a periodic function, the graph's pattern repeats identically over its period. So for \( x \)-values less than -2 and greater than 20, the exact same pattern should repeat from both the left (less than -2) and the right (greater than 20). The first option is incorrect as periodic functions have predictable, repeating patterns. The second is wrong because periodicity gives predictability. The third is incorrect as the direction or end behavior isn't the key; the key is the repeating pattern.

Answer:

The exact same pattern would repeat itself from both the left and the right.