Graphing Calculator Activity: Compound Inequalities

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1 Graphing Calculator Activity: Compound Inequalities GIVEN: 2 < 3x < 2 STEP : Rewrite Inequality Rewrite as two separate inequalities joined by and. 2 < 3x and 3x < 2 STEP 2: Enter Inequality in Y= To enter 2 < 3x: To enter and: To enter 3x: STEP 3: Display the Solutions Press to display the solution. The graph shows the interval of 4 < x < and 7. Try These On Your Own. When displaying the solutions of an inequality on a graphing calculator, how do you know which inequality symbols you should use in your solution? Check using the graphing calculator. 2. 6x 8 or 9x x Describe the difference between the graphs of -6 < x < -4 and x < -6 or x > -4.

2 Boss-Secretary: Compound & Absolute Value Inequalities Person A is Person A = Boss (talks) Person B is Person B = Secretary (writes) -5 < 5(3x 2) < 20 Person B = Boss (talks) Person A = Secretary (writes) 0 < 2(x 3) < 8 Person A = Boss (talks) Person B = Secretary (writes) 3x + 2 < 8 or -x + 3 < -2 Person B = Boss (talks) Person A = Secretary (writes) 2(x + 4) < 6 or -x + 3 < -7

3 Person A = Boss (talks) Person B = Secretary (writes) 3x 2 < 7 Person B = Boss (talks) Person A = Secretary (writes) 8 3x > 7 Person A = Boss (talks) Person B = Secretary (writes) 2 x 4 20 Person B = Boss (talks) Person A = Secretary (writes) 4 x 5 3

4 Coordinate Plane Question/Main Ideas: Name Date Block Notes: is formed by two real number lines that intersect at a right angle. Each point in the plane corresponds with this pair of real numbers. The first number in the ordered pair; it moves. The second number in the ordered pair; it moves. The point in the plane that corresponds to an ordered pair (x, y) is called the of (x, y). Label the following: Origin Quadrants x-axis y-axis Example : Naming Points Example 2: Plotting Points Plot and label each point. Name the quadrant in which each point lies.. A(-4, 4) 2. B(3, -2) 3. C(0, -4) 4. D(-2, -2) 5. E(2, 0) Connections, Summary, Reflection, Analysis:

5 Patterns Question/Main Ideas: Example : Using a Table of Values to Determine a Rule The table shows heights above and below ground at different floor levels in a 25-story building. Determine the pattern and generate a rule to complete the table. Name Notes: Date Block Floor # Height (ft) Example 2: Completing a Sequence Determine the pattern and generate a rule to find the missing values (nth terms). Generate a rule Connections, Summary, Reflection, Analysis:

6 -6 Relations Question/Main Ideas: Relation Name Notes: Date Block A relation is a set of. A relation can be depicted as a, a, and a. Mapping A mapping shows how each element of the paired with each element of the. is Domain Range Example : Representations of a Relation Express each relation as a table, a graph and a mapping. Determine the domain and range of each relation.. {(2, 5), (-2, 3), (5, -2), (-, -2)} 2. {(4, 3), (-2, -), (2, -4), (0, -4)} The domain is the set of all The range is the set of all -values in a relation. -values in a relation. Independent Variable Dependent Variable Example 2: Independent or Dependent Name the independent and dependent variable. 6. In warm climates, the average amount of electricity used rises as the daily average temperature increases and falls as the daily average temperature decreases. In a relation, the value that determines the is called the independent variable or the. The variable that represents the or the value that depends on the independent variable.

7 Question/Main Ideas: Name the independent and dependent variable. 7. The number of calories your burn increases as the number of minutes you walk increases. Example 3: Graphs of a Relation Draw a graph to represent each situation. 8. The temperature increases when the heat is turned on. Then the temperature fluctuates up and down. Finally, the temperature drops when the heat is turned off. 9. As time increases, your income increases overall, although it is not at all a constant rate. Notes: Example 3: Graph a Function Using a given domain, identify the range. Then graph. 0.. x y x y 0. y = 2x ; D{-2, -, 0,, 2}. y = x ; 2 D{-4, -2, 0, 2, 4} Connections, Summary, Reflection, Analysis:

8 Name Date Block Score HW: Relations & More Plot and label the ordered pairs in the coordinate plane.. A(0, 3), B(-2, -), C(2, 0) 2. A(5, 2), B(4, 3), C(-2, -4) 3. A(4, ), B(0, -3), C(3, 3) 4. A(0, 0), B(2, -2), C(-2, 0) Without plotting the point, tell whether it is in Quadrant I, Quadrant II, Quadrant III, or Quadrant IV. 5. (5, -3) 6. (-2, 7) 7. (6, 7) 8. (-4, -4) Express each relation as a table, a graph, and a mapping. Then determine the domain and range. 9. {(0, 0), (-3, 2), (6, 4), (-, )}

9 Express each relation as a table, a graph, and a mapping. Then determine the domain and range. 0. {(6, ), (4, -3), (3, 2), (-, -3)} Identify the independent and dependent variable for each relation.. The Spanish classes are having a fiesta lunch. Each student that attends is to bring a Spanish side dish or dessert. The more students that attend, the more food there will be. a) independent variable: b) dependent variable: 2. The faster you drive your car, the longer it will take to come to a complete stop. a) independent variable: b) dependent variable: 3. A car depreciates in value. The value decreases quickly in the first few years. a) independent variable: b) dependent variable: c) Graph: Complete the table to find 3 ordered pairs that are solutions of the equation. Then graph the equation. 4. y = -4x y = 3x 5 x y x y - 0-0

Express each relation as a table, a graph, and a mapping. Then determine the domain and range. 9. {(0, 0), ( 3, 2), (6, 4), ( 1, 1)} ANSWER:

Express each relation as a table, a graph, and a mapping. Then determine the domain and range. 9. {(0, 0), ( 3, 2), (6, 4), ( 1, 1)} D = { 3, 1, 0, 6}; R = {0, 1, 2, 4} esolutions Manual - Powered by Cognero