Problem 2 : Use the vertical line test to determine whether the following graph represents a function. Download Vertical Line Test Youtube Sheet Kids from Vertical Line Test Worksheet, source:sheetkids.biz Distance formula: graphs i and ii. Perpendicular lines: The slopes of perpendicular lines are negative reciprocals. 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. 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. To perform a vertical line test, draw vertical lines that pass through the curve. states that if a vertical line intersects the graph of the relation more than once, then the relation is a NOT a function. i. ii. Functions Cheat Sheet Name _____ Exponents are shorthand for repeated multiplication of the same thing by itself. is a way to determine if a relation is a function. ... A Vertical Line Test is used to determine if a relation is a function. iii. Name Definition Formulas Simple Solving Rational Equations: Get rid of the denominators by mult. Place on number line, and test sections. For the curve to pass the test, each vertical line should only intersect the curve once. B . y = x2 –x-6 y = 2x – 2 Linear Quadratic: substitute or graph Identifying Functions using the Vertical Line Test If a graph represents a function, that graph will only intersect with a vertical line one time. The vertical line test is a test to see if graph is linear. Identify which of the following are functions. all terms by common denominator. 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: graphs ii and iii. If slope is 2, slope of perpendicular line = – 1 / 2. 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 2. C. A . graph i. A relation is a function if there are no vertical lines that intersect the graph at more than one point. ☐ Can’t perform test (test stopped or not requested for suspect’s safety); Note only the clues observed. Vertical line test for functions worksheet from Vertical Line Test Worksheet, source:onlinemath4all.com. 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 … point vertical line test: unique for each like this 3. Step 3 : In the above graph, the vertical line intersects the graph in at most one point, then the given graph represents a function. graph iii. D . Which graph from question 2 is linear? Passing the vertical line test means it only has one y value per x value and is a function. C . The vertical Line test. Identify Functions and the Vertical Line Test Read from Vertical Line Test Worksheet, source:ck12.org. the official math cheat sheet for the final stephanie sorosiak functions function: rule that assigns to ie. The horizontal line test is the vertical line test but with horizontal lines instead. Function: Passes the vertical line test. There is bound to be a couple questions related to polynomials on the exam. We have to check whether the vertical line drawn on the graph intersects the graph in at most one point. (Vertical line test) 2.2.1 Polynomials Make sure you at least know what a polynomial is. 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 −= −− + − −− −−= + … If you think about it, the vertical line test is simply a restatement of the definition of a function. 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