math3 - Math 101 Review Sheet Spring 2008-2009 Room...

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Math 101 Review Sheet Spring 2008-2009 Room Sections Matheson 109 011, 013, 016, 017 CAT 61 009, 010 Exam Coverage: 1.1-1.6 Date: Friday, April, 24 th 8-8:50 am Recap of section 1.1: Interval Notation Slope and equations of Lines: Slope Formula for slope: 2 1 2 1 y y m x x - = - 1. Slope of a horizontal line is 0 2. Slope of a vertical line is undefined Equations of Lines: 1. Use slope-intercept form (y = mx + b) if you are given The slope and the y- intercept 2. Use point-slope form ( ( 29 1 1 y y m x x - = ) if you are given - The slope (m) and any point on the line, - You are given two points on the line only (find the slope first, using 2 1 2 1 y y m x x - = - , then pick a point and use point-slope form) 3. Equation of Horizontal line through the point (a, b): y = b 4. Equation of Vertical line through the point (a, b): x = a Inequality Interval notation Meaning Graph x a [ 29 , a x is greater than or = to a x a ( 29 , a x is greater than a x a ( ] , a - x is less than or = to a x a < ( 29 , a - x is less than a Inequality Interval notation Meaning Graph a x b [ ] , a b Include both a and b (closed interval) a x b < [ , ) a b Include a but not b (half closed interval) a x b < ( , ] a b Include b, but not a (half closed interval) a x b < < ( , ) a b Neither a nor b is included (open interval)
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Math 101 Review Sheet Spring 2008-2009 Section 1.2 Properties of Exponents ( 29 ( 29 0 1 1. 6. 1 1 2. 7. 3. 8. 4. 9. m n m n m m n n n n n m m n n n n x x x x x x x x x x y x x y x x xy x y y + - - - = = = = = = = ( 29 / (m/n: n is always the root; you can the n raise to the mth power under or outside the ) 5. 10. n n n n n n m n m n m n n y y x x x x x x x y y - = = = = = 1.3 Functions: Domain and Range: x = input value = independent variable; domain describes allowable values for x; f(x) = y = output value = dependent variable; range describes possible output for f(x) Vertical Line Test: The Vertical Line Test: A curve in the Cartesian plane is the graph of a function if and only if, if no vertical line intersects the curve at more than one point. Types of Functions: Linear Function: A linear function is a function that can be expressed in the form f(x) = mx +b with constants m and b. Its graph is a line with slope m and y-intercept b.
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math3 - Math 101 Review Sheet Spring 2008-2009 Room...

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