Question

8. The graph below represents the path of a golf ball.

The Path of a Golf Ball


Part A: The above graph is (circle one) linear/nonlinear.
Part B: Is the above graph a function? Explain.
Part C: What is the y-intercept and what does the y-intercept
representa
Part D: What is the solution to this graph and what does it represent in this
situation?

Answer 1

Part A: Non linear

Part B: Yes

Part C: The y-intercept is (0, 0), represent the starting height level of the golf ball

Part C: The solution are the points (0, 0) and (100, 0) which are the points at which the golf ball touches the ground

Explanation:

Part A: The shape of the path of the increase in the height of the the golf ball as it moves in increasing horizontal distance from the starting point is hat of a parabola

Part B: The graph is a function because each value of the independent variable, distance (ft.) maps to exactly one value of the dependent variable, elevation (ft.)

Part C: The y-intercept represents the starting or initial value of the function, where x = 0. It represents the height from which the golf ball motion path starts

Part D: The solution represents the values of the x-intercept at which the elevation is the y = 0.