Question

the graph shows the height of a tennis ball launched into the air as time (in seconds) increases. the height of the ball is a(n) choose... function of time on interval a, and a(n) choose... function on interval b

Explanation:

To determine the type of function (increasing or decreasing) for the height of the ball over intervals \(a\) and \(b\), we analyze the graph's slope:

• Interval \(a\): As time (x - axis) increases, the height (y - axis) decreases. A function where \(y\) decreases as \(x\) increases is a decreasing function.
• Interval \(b\): As time (x - axis) increases, the height (y - axis) increases. A function where \(y\) increases as \(x\) increases is an increasing function.

Answer:

For interval \(a\): decreasing
For interval \(b\): increasing