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1.1 Real Numbers and the Coordinate Plane

1.1 Real Numbers and the Coordinate Plane. HW: Read Pages 12 – 15 Pg . 11 # 11 – 24 Pg. 21 # 7 – 10 State how to determine the following from a polynomial: Leading Coefficient Degree End Behavior. 1.1 Real Numbers and the Coordinate Plane. Sets of Numbers.

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1.1 Real Numbers and the Coordinate Plane

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  1. 1.1 Real Numbers and the Coordinate Plane • HW: Read Pages 12 – 15 Pg. 11# 11 – 24 Pg. 21 # 7 – 10 • State how to determine the following from a polynomial: • Leading Coefficient • Degree • End Behavior

  2. 1.1 Real Numbers and the Coordinate Plane • Sets of Numbers

  3. 1.1 Real Numbers and the Coordinate Plane • Properties • Solve and state the property at each step:

  4. 1.1 Real Numbers and the Coordinate Plane Inequalities Examples Graph on the number line and write in set notation • Set Notation

  5. 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.

  6. 1.1 Real Numbers and the Coordinate Plane Distance Formula Examples Let the points be: P(1, 4) Q(1, 6) R(3, 6) Find: d(P,Q) d(Q,R) d(P,R) • 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:

  7. 1.1 Real Numbers and the Coordinate Plane Midpoint Formula Examples: Find the midpoint of (3, -5) and (0, 9). Find the midpoint of (-1, -2) and (4, -3). • The midpoint of the line segment with endpoints (a, b) and (c, d) is the point with coordinates:

  8. 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.

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