the official math cheat sheet for the final stephanie sorosiak functions function: rule that assigns to ie. 3. Identify which of the following are functions. all terms by common denominator. Perpendicular lines: The slopes of perpendicular lines are negative reciprocals. 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: i. ii. If you think about it, the vertical line test is simply a restatement of the definition of a function. 2. C. A . ... A Vertical Line Test is used to determine if a relation is a function. 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. states that if a vertical line intersects the graph of the relation more than once, then the relation is a NOT a function. Which graph from question 2 is linear? Name Definition Formulas Simple is a way to determine if a relation is a function. graphs ii and iii. (Vertical line test) 2.2.1 Polynomials Make sure you at least know what a polynomial is. 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. C . Solving Rational Equations: Get rid of the denominators by mult. Function: Passes the vertical line test. Problem 2 : Use the vertical line test to determine whether the following graph represents a function. iii. For the curve to pass the test, each vertical line should only intersect the curve once. point vertical line test: unique for each like this Identifying Functions using the Vertical Line Test If a graph represents a function, that graph will only intersect with a vertical line one time. D . The vertical Line test. graphs i and ii. 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. graph i. To perform a vertical line test, draw vertical lines that pass through the curve. B . ☐ Can’t perform test (test stopped or not requested for suspect’s safety); Note only the clues observed. Download Vertical Line Test Youtube Sheet Kids from Vertical Line Test Worksheet, source:sheetkids.biz Functions Cheat Sheet Name _____ Exponents are shorthand for repeated multiplication of the same thing by itself. 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 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 … A relation is a function if there are no vertical lines that intersect the graph at more than one point. Distance formula: The vertical line test is a test to see if graph is linear. We have to check whether the vertical line drawn on the graph intersects the graph in at most one point. The horizontal line test is the vertical line test but with horizontal lines instead. If slope is 2, slope of perpendicular line = – 1 / 2. Vertical line test for functions worksheet from Vertical Line Test Worksheet, source:onlinemath4all.com. 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