The purpose of this activity is to explore asymptotes, holes, and zeros of a function. To receive full credit for your explanations, be specific and use complete sentences.
Part 1: Understanding Rational Graphs (2pts each)
Press the WINDOW key on your calculator to set the window as pictured:
NORMAL FLOAT AUTO a+bi DEGREE MP
WINDOW
Xmin=-5
Xmax=5
Xscl=1
Ymin=-5
Ymax=5
Yscl=1
Graph the function $f(x) = \frac{1}{x}$ in $y_1$. Watch the function as it graphs from left to right. Pay close attention to what is happening to the x-coordinates and y-coordinates.
1. As you move toward the y-axis from the left (choose one option),
☐ the x-coordinates increase, and the y-coordinates increase.
☐ the x-coordinates increase, and the y-coordinates decrease.
☐ the x-coordinates decrease, and the y-coordinates increase.
☐ the x-coordinates decrease, and the y-coordinates decrease.
2. As you continue to move right, away from the y-axis (choose one option),
☐ the x-coordinates increase, and the y-coordinates increase.
☐ the x-coordinates increase, and the y-coordinates decrease.
☐ the x-coordinates decrease, and the y-coordinates increase.
☐ the x-coordinates decrease, and the y-coordinates decrease.
3. What value(s) of x would make the denominator equal zero in the function $f(x) = \frac{1}{x}$?
4. Graphically, what happens when $x = 0$ in the function $f(x) = \frac{1}{x}$? Reminder: Your answer should be a complete sentence.