A scientist measures the height, , of a tree each month, and is the number of months since the scientist first measured the height of the tree.

1. Is the height, , a function of the month, ? Explain how you know.
2. Is the month, , a function of the height, ? Explain how you know.

A bacteria population is 10,000. It triples each day.

1. Explain why the bacteria population, , is a function of the number of days, , since it was measured to be 10,000.
2. If the function is exponential, then which variable is the independent variable in this situation?
3. Write an equation relating  and .

1. Is the position, , of the minute hand on a clock a function of the time, ?
2. Is the time, , a function of the position, , of the minute hand on a clock?

The area covered by a city is 20 square miles. The area grows by a factor of each year since it was 20 square miles.

1. Explain why the area, , covered by the city, in square miles, is a function of , the number of years since its area was 20 square miles.
2. Write an equation for in terms of .

The graph shows an exponential relationship between and .

1. Write an equation representing this relationship.
2. What is the value of  when ? Label this point on the graph.
3. What is the value of  when ? Label this point on the graph.

Graph of a function on grid, origin O.  Horizontal axis, x, from negative 3 to 4 by 0 point 5's. Vertical axis, y, from 0 to 500, by 50's. Given plotted coordinates as follows: 0 comma 50, 1 comma 100, 2 comma 200. 4 more points plotted when x equals negative 3, negative 2, negative 1, and 4.

Here is an inequality: . 

Graph the solution set to the inequality on the number line.