Solving Rational Equations: Get rid of the denominators by mult. Total Clues: ☐ (Decision Point: 2; Max: 4) Walk and Turn Instructions Stage: ☐ Place your left foot on a line, (real or imaginary) and put your right heel against the … is a way to determine if a relation is a function. Perpendicular lines: The slopes of perpendicular lines are negative reciprocals. Place on number line, and test sections. A set of ordered pairs in which each x element has only one y element f (x) = 3x + 4 f (3) = 3•3 + 4 = 13 Systems: y – 2x = 1 y + 2x = 9 Linear: substitute; add to eliminate one variable or graph. Function: Passes the vertical line test. all terms by common denominator. Functions Cheat Sheet Name _____ Exponents are shorthand for repeated multiplication of the same thing by itself. There is bound to be a couple questions related to polynomials on the exam. graphs ii and iii. The horizontal line test is the vertical line test but with horizontal lines instead. B . y = x2 –x-6 y = 2x – 2 Linear Quadratic: substitute or graph Step 3 : In the above graph, the vertical line intersects the graph in at most one point, then the given graph represents a function. Be familiar with the Binomial Theorem, which states that (a+b)n= n 0 an+ n 1 an 1b+ n 2 an 2b2+ + n n 1 abn 1+ n n bn: states that if a vertical line intersects the graph of the relation more than once, then the relation is a NOT a function. If slope is 2, slope of perpendicular line = – 1 / 2. We have to check whether the vertical line drawn on the graph intersects the graph in at most one point. Identify Functions and the Vertical Line Test Read from Vertical Line Test Worksheet, source:ck12.org. For the curve to pass the test, each vertical line should only intersect the curve once. C . graph i. i. ii. the official math cheat sheet for the final stephanie sorosiak functions function: rule that assigns to ie. To perform a vertical line test, draw vertical lines that pass through the curve. If you think about it, the vertical line test is simply a restatement of the definition of a function. graphs i and ii. Name Definition Formulas Simple Passing the vertical line test means it only has one y value per x value and is a function. ... A Vertical Line Test is used to determine if a relation is a function. 2. 2 2 22 3 2 29521 5 295 22 3( 5) 2(2 1) 22 3 15 4 2 37 3 4 2 35 7 5 xx x x multiply all by x x and get xx xx xx x x −= −− + − −− −−= + … The vertical line test is a test to see if graph is linear. graph iii. Which graph from question 2 is linear? D . The vertical Line test. (Vertical line test) 2.2.1 Polynomials Make sure you at least know what a polynomial is. Function Notation can be written as: f(x) = 3x+2 this translates to: “f of x” equals 3x+2” g(x) = 3x-1 this translates to: “g of x equals 3x – 1” Evaluating Functions Problem 2 : Use the vertical line test to determine whether the following graph represents a function. Distance formula: 3. Download Vertical Line Test Youtube Sheet Kids from Vertical Line Test Worksheet, source:sheetkids.biz Vertical line test for functions worksheet from Vertical Line Test Worksheet, source:onlinemath4all.com. point vertical line test: unique for each like this A relation is a function if there are no vertical lines that intersect the graph at more than one point. C. A . Horizontal line: y = h [h is any constant value] Vertical line: x = v [v is any constant value] Point-slope formula: (y – y 1) = m(x – x 1) Parallel lines: Parallel lines have the same slope. 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