[
  {
    "Question": "What is the definition of a function?",
    "Answer": "A",
    "Explanation": "A function is a relation that assigns exactly one output for each input. This means that for every input value, there is a unique output value.",
    "PictureURL": "",
    "OptionA": "A relation that assigns one output for each input",
    "OptionB": "A relation that can assign multiple outputs for one input",
    "OptionC": "A set of ordered pairs with no restrictions",
    "OptionD": "A linear equation only",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Understanding Functions",
    "Item": 1,
    "Type": "multiple choice",
    "Path": "functions/definition"
  },
  {
    "Question": "Which of the following is an example of a function?",
    "Answer": "B",
    "Explanation": "The relation (1, 2), (2, 3), (3, 4) is a function because each input (1, 2, 3) has a unique output (2, 3, 4).",
    "PictureURL": "",
    "OptionA": "(1, 2), (1, 3), (2, 4)",
    "OptionB": "(1, 2), (2, 3), (3, 4)",
    "OptionC": "(1, 2), (2, 2), (3, 2)",
    "OptionD": "(1, 1), (2, 2), (3, 3)",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Identifying Functions",
    "Item": 2,
    "Type": "multiple choice",
    "Path": "functions/examples"
  },
  {
    "Question": "Which of the following graphs represents a function?",
    "Answer": "C",
    "Explanation": "The vertical line test states that if a vertical line intersects a graph at more than one point, it is not a function. Graph C passes this test.",
    "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/4/4b/Vertical_line_test.svg/1200px-Vertical_line_test.svg.png",
    "OptionA": "Graph A",
    "OptionB": "Graph B",
    "OptionC": "Graph C",
    "OptionD": "Graph D",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Graphical Representation of Functions",
    "Item": 3,
    "Type": "multiple choice",
    "Path": "functions/graphs"
  },
  {
    "Question": "What is the output of the function f(x) = 2x + 3 when the input x = 4?",
    "Answer": "A",
    "Explanation": "To find the output, substitute x with 4: f(4) = 2(4) + 3 = 8 + 3 = 11.",
    "PictureURL": "",
    "OptionA": "11",
    "OptionB": "10",
    "OptionC": "8",
    "OptionD": "7",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Evaluating Functions",
    "Item": 4,
    "Type": "multiple choice",
    "Path": "functions/evaluation"
  },
  {
    "Question": "Which of the following tables represents a function?",
    "Answer": "B",
    "Explanation": "Table B shows unique outputs for each input, while Table A has the input 2 mapping to two different outputs (3 and 4).",
    "PictureURL": "",
    "OptionA": "Input: 1, 2, 2, 3; Output: 3, 4, 5, 6",
    "OptionB": "Input: 1, 2, 3; Output: 3, 4, 5",
    "OptionC": "Input: 1, 2, 3; Output: 3, 3, 3",
    "OptionD": "Input: 1, 2, 3; Output: 1, 2, 3",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Identifying Functions from Tables",
    "Item": 5,
    "Type": "multiple choice",
    "Path": "functions/tables"
  },
  {
    "Question": "If a function is defined as f(x) = x^2, what is f(-3)?",
    "Answer": "C",
    "Explanation": "Substituting -3 into the function gives f(-3) = (-3)^2 = 9.",
    "PictureURL": "",
    "OptionA": "6",
    "OptionB": "3",
    "OptionC": "9",
    "OptionD": "0",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Evaluating Quadratic Functions",
    "Item": 6,
    "Type": "multiple choice",
    "Path": "functions/evaluation_quadratic"
  },
  {
    "Question": "Which of the following statements is true about functions?",
    "Answer": "A",
    "Explanation": "A function can have the same output for different inputs, but it cannot have the same input mapping to multiple outputs.",
    "PictureURL": "",
    "OptionA": "A function can have the same output for different inputs.",
    "OptionB": "A function must have different outputs for every input.",
    "OptionC": "A function can have multiple outputs for the same input.",
    "OptionD": "All functions are linear.",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Properties of Functions",
    "Item": 7,
    "Type": "multiple choice",
    "Path": "functions/properties"
  },
  {
    "Question": "What is the range of the function f(x) = 3x - 1?",
    "Answer": "B",
    "Explanation": "The range of a linear function is all real numbers, as x can take any value and thus f(x) can also take any value.",
    "PictureURL": "",
    "OptionA": "Only positive numbers",
    "OptionB": "All real numbers",
    "OptionC": "Only negative numbers",
    "OptionD": "Only integers",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Understanding Range",
    "Item": 8,
    "Type": "multiple choice",
    "Path": "functions/range"
  },
  {
    "Question": "Which of the following is NOT a function?",
    "Answer": "D",
    "Explanation": "Option D is not a function because it assigns two different outputs (2 and 3) to the same input (1).",
    "PictureURL": "",
    "OptionA": "(1, 2), (2, 3), (3, 4)",
    "OptionB": "(1, 1), (2, 2), (3, 3)",
    "OptionC": "(1, 2), (2, 2), (3, 3)",
    "OptionD": "(1, 2), (1, 3), (2, 4)",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Identifying Non-Functions",
    "Item": 9,
    "Type": "multiple choice",
    "Path": "functions/non_functions"
  },
  {
    "Question": "What is the input-output rule for the function f(x) = x/2?",
    "Answer": "A",
    "Explanation": "The input-output rule states that for any input x, the output is half of that input, which is represented by f(x) = x/2.",
    "PictureURL": "",
    "OptionA": "Output is half of the input",
    "OptionB": "Output is double the input",
    "OptionC": "Output is the same as the input",
    "OptionD": "Output is the square of the input",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Understanding Input-Output Rules",
    "Item": 10,
    "Type": "multiple choice",
    "Path": "functions/input_output_rules"
  },
  {
    "Question": "If f(x) = 5 and g(x) = 2x + 1, what is g(f(3))?",
    "Answer": "B",
    "Explanation": "First, find f(3) = 5. Then substitute this into g: g(5) = 2(5) + 1 = 10 + 1 = 11.",
    "PictureURL": "",
    "OptionA": "10",
    "OptionB": "11",
    "OptionC": "12",
    "OptionD": "13",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Function Composition",
    "Item": 11,
    "Type": "multiple choice",
    "Path": "functions/composition"
  },
  {
    "Question": "What is the domain of the function f(x) = 1/(x - 2)?",
    "Answer": "C",
    "Explanation": "The domain of this function is all real numbers except x = 2, since the function is undefined at that point.",
    "PictureURL": "",
    "OptionA": "All real numbers",
    "OptionB": "All positive numbers",
    "OptionC": "All real numbers except 2",
    "OptionD": "All integers",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Understanding Domain",
    "Item": 12,
    "Type": "multiple choice",
    "Path": "functions/domain"
  },
  {
    "Question": "Which of the following functions is linear?",
    "Answer": "A",
    "Explanation": "The function f(x) = 2x + 3 is linear because it can be represented by a straight line on a graph.",
    "PictureURL": "",
    "OptionA": "f(x) = 2x + 3",
    "OptionB": "f(x) = x^2",
    "OptionC": "f(x) = sin(x)",
    "OptionD": "f(x) = e^x",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Identifying Linear Functions",
    "Item": 13,
    "Type": "multiple choice",
    "Path": "functions/linear"
  },
  {
    "Question": "What is the output of the function f(x) = x^3 when x = 2?",
    "Answer": "D",
    "Explanation": "Substituting x = 2 into the function gives f(2) = 2^3 = 8.",
    "PictureURL": "",
    "OptionA": "4",
    "OptionB": "6",
    "OptionC": "10",
    "OptionD": "8",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Evaluating Cubic Functions",
    "Item": 14,
    "Type": "multiple choice",
    "Path": "functions/evaluation_cubic"
  },
  {
    "Question": "What is the slope of the function f(x) = 4x + 1?",
    "Answer": "B",
    "Explanation": "The slope of a linear function in the form f(x) = mx + b is given by m. Here, m = 4.",
    "PictureURL": "",
    "OptionA": "1",
    "OptionB": "4",
    "OptionC": "0",
    "OptionD": "2",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Understanding Slope",
    "Item": 15,
    "Type": "multiple choice",
    "Path": "functions/slope"
  }
]