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Pg. 11/21 Homework. Pg. 11 #15 – 21, 26 – 35, 39 #1 assoc prop of add #2 distrib prop #3 commut prop of add #4 assoc prop of mult #5 [-2, 3) #6 [4, 5] #7 (-∞, 5] #8 (-3, -1) #9 #10 [-4, 5] #11 8 #12 5 #13 #14
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Pg. 11/21 Homework • Pg. 11 #15 – 21, 26 – 35, 39 • #1 assoc prop of add #2 distrib prop • #3 commut prop of add #4 assoc prop of mult • #5 [-2, 3) #6 [4, 5] #7 (-∞, 5] • #8 (-3, -1) #9 #10 [-4, 5] • #11 8 #12 5 #13 #14 • #7 -$10.75, $8.00, $26.75, $70.50 • #8 y = 0.25x – 35.75 #9 Graph • #10 break even = 143 tickets; x > 143 will yield a profit
1.1 Real Numbers and the Coordinate Plane Absolute Value Examples Write the expression without using absolute value notation • Definition • Formal • If a is a real number, then the absolute value of a if given by: • Informal • The distance from zero on the number line.
1.1 Real Numbers and the Coordinate Plane Distance Formula Midpoint Formula The midpoint of the line segment with endpoints (a, b) and (c, d) is the point with coordinates: • Between points sharing a coordinate (on a real-number line) • If points P(a, b) and Q(a, c), then: d(P, Q) = |b-c| • Between points on the same line • If points and then:
1.1 Real Numbers and the Coordinate Plane Domain and Range Graphing Windows When in doubt, what do you ZOOM to? What are you other options? • Domain • The domain is all the possible input values of a function. • All the possible x – values. • Range • The range is all the possible output values of a function. • All the possible y – values.
1.2 Graphing Utilities and Complete Graphs Problem Solving Example It costs $8 to enter the fair. Each ticket towards a ride costs $0.75. Generalize the pattern from the given information. • Read the problem • Re-read the problem • State the problem in your own words • Define the variables in the problem • Clearly identify what you are given and what you are looking for