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Mathematics Test Chapter 2: Non-Calculator & Calculator Sections - Graphs, Functions, Equations

This test covers topics such as basic graphs, different types of functions and relations, determining if a relation represents a function, finding domain and range, graphing equations, and applying transformations. It includes both non-calculator and calculator sections.

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Mathematics Test Chapter 2: Non-Calculator & Calculator Sections - Graphs, Functions, Equations

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  1. Chapter 2 Test Part 1: Non-Calculator  25 questions (1-25) Part 2: Calculator  5 questions (26-30)

  2. 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*

  3. 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 19-26 (given ordered pairs) (11-12) {(1, 2), (3, 5), (1, -3), (2, 0)} {(0, 2), (1, 7), (6, -5), (9, 7)} Section 2  #s 11-18 (given graph) (13-15)

  4. 16-18 given a function  plug a number in for x to find y Ex. Section 2  #s 23-28 ; find g(1) ; find h(-3)

  5. 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

  6. 23-25 Find the average rate of change Ex. Section 3  #s 53-56 f(x) = -3x + 7  A.R.C. = f(x) = -2  A.R.C. = f(x) = 2x^2 from 1 to 3

  7. 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 45-52 f(x) = x3+ 3x + 2 (-2, 2)

  8. 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***

  9. 28  piecewise function Ex. Section 4

  10. 29  square root function Ex. Section 5 Basic: (0, 0) (1, 1) (4, 2)

  11. 30  quadratic function Ex. Section 5 f(x) = 2(x – 1)2+ 2 Basic: (-1, 1) (0, 0) (1, 1)

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