Chapter 1 Review
In this section we review things that every calculus student should know (but is afraid to ask).
Objectives
You should be able to:
- Perform algebraic manipulations such as factorization, simplification, rationalization and completion of the square.
- Determine and state the domain and range of basic functions (root, rational) using interval notation.
- Determine whether a curve in the plane represents the graph of a function using the vertical line test.
- Determine whether a function is rational, algebraic, or trigonometric.
- Sketch the graphs of lines, parabolas, the basic trigonometric functions, and functions involving absolute values.
- Sketch the graphs of circles, ellipses, and hyperbolas.
- Solve simple equations (linear, quadratic, and trigonometric), and simple inequalities (including inequalities involving absolute values).
- Determine the equation of a line using the slope-intercept form and the point-slope form.
- Convert degrees into radians and vice versa.
- Recall the definition of all trigonometric ratios and use them to determine all trigonometric ratios from a given trigonometric ratio.
- Recall the trigonometric ratios of special angles on the unit circle.
- Determine the angle corresponding to a given trigonometric ratio.