A scientist measures the height, \(h\), of a tree each month, and \(m\) is the number of months since the scientist first measured the height of the tree.

1. Is the height, \(h\), a function of the month, \(m\)? Explain how you know.
2. Is the month, \(m\), a function of the height, \(h\)? Explain how you know.

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

1. Explain why the bacteria population, \(b\), is a function of the number of days, \(d\), 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 \(b\) and \(d\).

1. Is the position, \(p\), of the minute hand on a clock a function of the time, \(t\)?
2. Is the time, \(t\), a function of the position, \(p\), of the minute hand on a clock?

The area covered by a city is 20 square miles. The area grows by a factor of \(1.1\) each year since it was 20 square miles.

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

The graph shows an exponential relationship between \(x\) and \(y\).

1. Write an equation representing this relationship.
2. What is the value of \(y\) when \(x = \text-1\)? Label this point on the graph.
3. What is the value of \(y\) when \(x = \text-2\)? 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: \(3x+1>34-4x\). 

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