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Chapter 2 Test Part 1: Non-Calculator 25 questions (1-25) Part 2: Calculator 5 questions (26-30)
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1-10 Matching *definitions (4) and the different types of basic graphs (6) *make sure you know the difference between a relation and a function* *make sure you know what the different graphs look like*
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11-15 determine if the relation represents a function if it does, determine the domain and range if it doesn’t, just say it doesn’t! Ex. Section 1 #s (given ordered pairs) (11-12) {(1, 2), (3, 5), (1, -3), (2, 0)} {(0, 2), (1, 7), (6, -5), (9, 7)} Section 2 #s (given graph) (13-15)
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16-18 given a function plug a number in for x to find y Ex
16-18 given a function plug a number in for x to find y Ex. Section 2 #s 𝑔 𝑥 = 3𝑥 𝑥 2 −16 ; find g(1) ℎ 𝑥 = 12−2𝑥 ; find h(-3)
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19-22 Given a graph find 19) domain and range; 20) find x and y intercepts; 21) f(x) < 0 (intervals where it is below the x-axis); 22) intervals where it is increasing, decreasing, or constant (one graph that is being used for all 4 questions) Ex. Section 3 #s 21-28
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23-25 Find the average rate of change Ex
23-25 Find the average rate of change Ex. Section 3 #s f(x) = -3x + 7 A.R.C. = f(x) = -2 A.R.C. = f(x) = 2x^2 from 1 to 3
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26-27 given an equation graph on given interval state any minimums/maximums AND say where it is increasing or decreasing (or constant) [draw rough sketch] Ex. Section 3 #s f(x) = x3 + 3x + 2 (-2, 2)
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28-30 Graphing various equations by hand (may check with graphing calculator) 28 piecewise function 29 & 30 using transformations **please list ordered pairs basic and then each set after each of the transformations** horizontal shift first, then stretch/compression/reflection, then vertical shift Add/subtract to x multiply the y only add/subtract to y ***always apply next transformation to the previous result, NOT the original***
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28 piecewise function Ex
28 piecewise function Ex. Section 4 𝑓 𝑥 = 𝑥 2 𝑖𝑓 𝑥<2 6 𝑖𝑓 𝑥=2 10−𝑥 𝑖𝑓 2<𝑥≤6
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29 square root function Ex
29 square root function Ex. Section 5 𝑓 𝑥 = − 𝑥+2 +5 Basic: (0, 0) (1, 1) (4, 2)
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30 quadratic function Ex
30 quadratic function Ex. Section 5 f(x) = 2(x – 1)2 + 2 Basic: (-1, 1) (0, 0) (1, 1)
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