Question

1. the graph shows the height of a football after being kicked. use the graph to estimate the x - and y - intercepts of the function, where the function is positive and negative, and interpret the meanings in the context of the situation.

height (meters)

Explanation:

The x - intercept represents the time when the football hits the ground (height = 0). The y - intercept represents the initial height of the football when it is kicked (time = 0). A positive part of the function means the football is above the ground, and a negative part (if applicable in an extended context) could imply something about the model's limitations or an incorrect domain assumption since height can't be negative in reality for this physical situation.

Answer:

The x - intercept is the time when the football touches the ground. The y - intercept is the initial height of the football. Positive function values mean the football is above the ground.