CPM 3 - Chapter 1 - Individual Version 1 Name: Date: Per:
1.) Sketch a reasonable graph showing the volume of air in your lungs as time passes. Be sure to label your axes.
Complete work here:

2.) Two students are working on a simplification problem. Their work is shown below. Is either of them correct? If so, who? And what did the other do wrong? If not, show how to get the correct answer and explain what each did wrong?

Complete work here:

3.) Calculate the x and f(x) intercepts of f(x) = 3x2 − 12. Show all your work and explain your thinking clearly.
Complete work here:

4.) Write the equation of the line that passes through the points (−2, 3) and (5, −1). Show all your work clearly.
Complete work here:

5.) Solve 5 − 3(x − 2) = −5x + 8 carefully. Explain what you think is a common mistake someone could make while solving this equation. Be clear so your teacher will understand the error.
Show work here:
Explain common mistakes here:

6.) Make a complete graph of .

7.) For f(x) = (x − 3)2, evaluate each of thefollowing. Show all work.
a. f(4)
b. f(-2)
c. f(0)
d. f(3)
e. Find the value(s) of x for which f(x) = 25