Question

Drag each interval to a box to show if the function shown is increasing, decreasing, or neither over that interval

Answer 1

See attached

Explanation:

You want to identify the regions of the given graph where the function is increasing, decreasing, or neither.

Increasing

The function is increasing when points to the right are higher (have a greater y-coordinate) than points to the left. That is, the slope is upward to the right.

The given graph is increasing on intervals ...

• -10 < x < -8
• -2 < x < 0

Decreasing

The function is decreasing when points to the right are lower (have a lesser y-coordinate) than points to the left. That is, the slope is downward to the right.

The given graph is decreasing on the interval ...

• 3 < x < 7

Neither

The function is neither increasing nor decreasing when it is parallel to the x-axis (or when a tangent is parallel to the x-axis).

The given graph is neither increasing nor decreasing on the intervals ...

• 8 < x < 10
• -8 < x < -5