Unit 1 Learning Outcomes

Upon successful completion of this unit, you will be able to:

• approximate a slope of a tangent line from a function given as a graph;
• approximate the area of an irregular figure by counting inside squares;
• calculate the slope of the line through two points;
• write the equation of the line through two points using both slope-intercept and point-slope forms;
• write the equation of a circle with a given center and radius;
• evaluate a function at a point, given by a formula, graph, table, or words;
• evaluate a combination, or a composition, of functions when indicated by the symbols +, - , *, /;
• evaluate and graph the elementary functions as well as \( \left |x \right | \) and \( \int{x} \);
• state whether a given "if-then" statement is true or false, and justify the answer;
• state which parts of a mathematical statement are assumptions, or hypotheses, and which are conclusions; and
• state the contrapositive form of an "if-then” statement.