Section 1.8: Inequalities.
- Specify what it means to solve an inequality.
- List the rules for manipulating inequalities.
- Solve linear inequalities.
- Solve absolute value inequalities.
- Perform a “check your answer” procedure after solving an inequality.
- Draw the solution to an inequality on the number line.
Section 1.9: The Coordinate Plane; Graphs of Equations; Circles.
- Draw and label the coordinate plane, including the horizontal/vertical axes and quadrants.
- Plot ordered pairs \((x, y)\) on the coordinate plane.
- Compute the distance between two points.
- Compute the midpoint of two points.
- Explain what it means for a point \((x, y)\) to satisfy an equation \(y = f(x) \).
- Sketch a graph of a function \(y = f(x)\) in the coordinate plane by generating a table of \(x\) and \(y = f(x)\) values.
- Define the \(x\)- and \(y\)-intercepts of a graph, and find them given a graph.
- State the equation for a circle in standard form.