Math test one studyguide
Math test one studyguide MATH 1101
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This 2 page Study Guide was uploaded by Rukeem Collins on Tuesday February 2, 2016. The Study Guide belongs to MATH 1101 at Georgia State University taught by Changyong Zhong in Winter 2016. Since its upload, it has received 77 views. For similar materials see INTRO TO MATHEMATICAL MODELING in Geography at Georgia State University.
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Date Created: 02/02/16
Math test one study guide Test one covers elements from unit 1.1, and 1.2, and dominantly contains questions about function rules, and word problems that require you to arrange given data into word problems. Here are the things that you should make sure you understand before you take the test. Function- a correspondence such that there is only one response. This means that for every input, there is only one output. An output can have two inputs, though It is not a function if it has more than one correspondence between sets. Common notation y=f(x) (F of x) also known as function notation X=independent variable (input) Y=dependent variable (outcome) .Function rules: If the variable is the denominator of a fraction the denominator cannot equal 0 The expression under a square root (radicand) has to be greater than or equal to 0. Interval notation- use interval notation to display possible domain values. Ex: (-∞,∞) [-2,∞) use parenthesis ( ( ) if you can equal the number, and a bracket (]) if you cannot equal the number. For the number Infinity, for example, you’d use a bracket. In equations with multiple domain conditions, both conditions have to be satisfied. Ex: X≠0 X≥-5. How to find intercepts For the x intercept, let Y=0, solve for X For Y intercept, let x=0, solve for Y Ex: Y=2X+ 4 subtract four, then divide by the coefficient -4/2, and you get X=-2. If a line on a graph slopes up, m is positive, if it slopes down, it is negative, and it is straight, M is 0. .slope: slope is the vertical change over the horizontal change. M =????2−????1????2−????1 Given two different points x1, y1, and x2, y2, on a non- vertical line L the slope is the second set of coordinates, minus the first. . The relationship between the line and the slope The slope is positive if the line increased to the right The slope is negative if the slope decreases to the right. The slope is zero if the line is horizontal. If the line is vertical the slope is undefined. Slope only applies to linear functions. Y=mx+b is called slope intercept form because M is the slope, and B is the y intercept. Slope is also called the rate of change .Point slope form: the equation a line with slope that passes through a main point. Y-y1= m(x-x1) General form Ax+By=C . If the slope of a line is 0, y is the y coordinate of the ordered pair, and it doesn’t change. Y= b If the slope is undefined, x is the x coordinate of the ordered pair, and it doesn’t change. . Parallel and Perpendicular lines Parallel lines are lines are two line that run directly across from each other, and they have the same slope For perpendicular lines m1xm2=-1. That means that one slope is the reciprocal of the other one. I would also make sure that you know how to interpret word problems, because a lot of the test is getting your equations from the context of word problems. If you know all this, then you are properly prepared for the test. So good luck, and, happy studying!
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