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MATH 2412 Exam 1 Study Sheet

MATH 2412 Exam 1 Study Sheet - MATH 2412 Exam 1 Study Sheet...

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MATH 2412 Exam 1 Study Sheet Sections 1.1 &1.2 N – Natural (or counting) numbers {1,2,3,4…} W – Whole numbers {0,1,2,3,4…} Z – Integers {…-2,-1,0,1,2…} Q – Rational Numbers { ½, -3/7, 9/2, 0…} any ratios or fractions I – Irrational Numbers {square roots, pi, e} non-whole numbers R – Real Numbers {all rational and irrational numbers} C – Complex Numbers {real numbers + imaginary numbers} a+bi Distance from X 1 to X 2 : abs(X2-X1) Midpoint (average) between X1 and X2 : (X1+X2)/2 Steps to Solve Inequalities 1. Change to equal 2. Check for undefined values 3. Solve 4. Check Section 1.3 – The Coordinate Plane Equation of a Circle (x-h) 2 - (y-k) 2 = r 2 Center: (h,k) Radius: r Section 1.4 – Graphs of Functions Intercepts: X-int: let y=0 and solve Y-int: let x=0 and solve Symmetry : the equations must be the same after substitutions to be symmetrical x-axis: substitute –y for y y-axis: substitute –x for x origin: substitute –x for x and –y for y Section 1.6 – Functions Must pass a vertical line test to be a function
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