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The height in inches of a frog's jump is modeled by the equation , where the time, , after it jumped is measured in seconds.
Here is a graph that represents the height of a baseball, , in feet, as a function of time, , in seconds, after it was hit by Player A.
Player B hits a baseball that has its height, in feet, seconds after it was hit represented by the function . Without graphing function , answer the questions, and explain or show how you know.
Let’s say that a tennis ball is hit straight up into the air, and its height, in feet, above the ground is modeled by the equation , where represents the time, in seconds, after the ball is hit. Here is a graph that represents the function, from the time the tennis ball was hit until the time it reached the ground.
In the graph, we can see some information we already know, and some new information:
The equation can be written in factored form as . From this form, we can see that the zeros of the function are and . The negative zero, , is not meaningful in this situation, because the time before the ball was hit is irrelevant.