Unit 7, Lesson 12
Tangent
Algebra 2
Practice
Problem 1
Here is a graph of \(f\) given by \(f(\theta) = \tan(\theta)\).
- Are \(\frac{\pi}{2}\) and \(\frac{3\pi}{2}\) in the domain of \(f\)? Explain how you know.
- What are the \(\theta\)-intercepts of the graph of \(f\)? Explain how you know.
A graph. Horizontal axis, theta, scale 0 to 2 pi, by pi over 2. Vertical axis, y, from negative 3 to 3, by 1s. A curve begins at 0 comma 0 and curves upward towards an invisible vertical line at pi over 2 but never touches it. Another curve crosses the x axis at pi. It continues in both directions, up and down, approaching invisible vertical lines at pi over 2 and 3 pi over 2, but never touches them. Another curve crosses the x axis at 2 pi. It continues down only approaching an invisible vertical line at 3 pi over 2 but never touches it.