
How long do you think it will take a penny to hit the ground?
Using the equation, fill in the table. [Hint: Plug the given t-values into the equation for t]

Why would negative domain values not be appropriate in this context?
What is the reasonable domain of the function represented in your graph? What is the reasonable range?

Radium has a half-life of 1600 years. How much radium will be left from a 1000-gram sample after 1600 years?
How much radium will be left after another 1600 years?
Suppose a radioactive substance has a half-life of 1 second and you begin with a sample of 4 grams. Complete the table of values.

Graph the data from the table on the grid below.
Will the amount of the substance that remains ever reach 0? Explain.
What are the reasonable domain and range of the function represented in the graph? Explain.
Using your table of values, graph Galileo’s function.
What is the y-intercept?
What does the y-intercept represent?
What is the x-intercept? What does the x-intercept represent?
Identify any extrema of the function shown in the graph. What do the extrema represent?
What is the y-intecept and what does it represent?
Identify the absolute maximum and minimum of the function represented in the graph, and tell what they represent in the context.