Question

the graph shows the height of the leap of a puma, in feet, x seconds after leaving the ground. what does an x-intercept of the function represent?

Explanation:

The x - intercept of a function is the point where the graph intersects the x - axis, which means the y - value (height in this case) is 0. In the context of the puma's leap, the x - axis represents time (in seconds) and the y - axis represents height (in feet). So when the height (y) is 0, we are looking at the time when the puma is on the ground. The puma starts on the ground at x = 0 (when it leaves the ground) and the other x - intercept at x = 2 represents the time when the puma lands back on the ground after the leap.

Answer:

An x - intercept of the function represents the time (in seconds) when the puma lands back on the ground (or when it starts the leap, but the non - zero x - intercept here is when it lands) after leaving the ground, i.e., when the height of the puma's leap is 0 feet. Specifically, at x = 2 seconds, the puma is back on the ground.