Question

3.4 practice exercises
3.4 example 3.4
football the graph shows the height of a football after being kicked. use the graph to estimate the x - and y - intercepts of the function, and interpret the meanings in the context of the situation.
the x - intercept is
this means that
the y - intercept is
this means that

Explanation:

Step1: Identify x - intercept

The x - intercept is the point where the graph crosses the x - axis (y = 0). Looking at the graph, it crosses the x - axis at approximately x = 8 seconds. This means the football hits the ground 8 seconds after being kicked.

Step2: Identify y - intercept

The y - intercept is the point where the graph crosses the y - axis (x = 0). Looking at the graph, it crosses the y - axis at approximately y = 1 foot. This means the initial height of the football when it is kicked is 1 foot.

Answer:

The x - intercept is 8 seconds. This means that the football hits the ground 8 seconds after being kicked.
The y - intercept is 1 foot. This means that the initial height of the football when it is kicked is 1 foot.