[
  {
    "Question": "What is the general form of an exponential growth function?",
    "Answer": "A",
    "Explanation": "The general form of an exponential growth function is f(x) = a * b^x, where a > 0 and b > 1.",
    "PictureURL": "",
    "OptionA": "f(x) = a * b^x (a > 0, b > 1)",
    "OptionB": "f(x) = a * b^x (a < 0, b < 1)",
    "OptionC": "f(x) = a * b^x (a < 0, b > 1)",
    "OptionD": "f(x) = a * b^x (a > 0, b < 1)",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Exponential Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Exponential Growth Functions",
    "Item": 1,
    "Type": "multiple choice",
    "Path": "math/exponential_growth"
  },
  {
    "Question": "Which of the following represents exponential decay?",
    "Answer": "B",
    "Explanation": "Exponential decay occurs when the base of the exponent is between 0 and 1, which means the function decreases as x increases.",
    "PictureURL": "",
    "OptionA": "f(x) = 2 * (0.5)^x",
    "OptionB": "f(x) = 3 * (0.8)^x",
    "OptionC": "f(x) = 5 * (2)^x",
    "OptionD": "f(x) = 4 * (1.5)^x",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Exponential Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Exponential Decay Functions",
    "Item": 2,
    "Type": "multiple choice",
    "Path": "math/exponential_decay"
  },
  {
    "Question": "If a population of bacteria doubles every 3 hours, which function represents its growth?",
    "Answer": "A",
    "Explanation": "The function can be modeled as P(t) = P0 * 2^(t/3), where P0 is the initial population and t is time in hours.",
    "PictureURL": "",
    "OptionA": "P(t) = P0 * 2^(t/3)",
    "OptionB": "P(t) = P0 * 3^(t/3)",
    "OptionC": "P(t) = P0 * 2^(3/t)",
    "OptionD": "P(t) = P0 * 0.5^(t/3)",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Exponential Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Population Growth Model",
    "Item": 3,
    "Type": "multiple choice",
    "Path": "math/bacteria_growth"
  },
  {
    "Question": "What is the y-intercept of the function f(x) = 5 * (2)^x?",
    "Answer": "A",
    "Explanation": "The y-intercept occurs when x = 0. Thus, f(0) = 5 * (2)^0 = 5 * 1 = 5.",
    "PictureURL": "",
    "OptionA": "5",
    "OptionB": "10",
    "OptionC": "0",
    "OptionD": "2",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Exponential Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Finding Y-Intercept",
    "Item": 4,
    "Type": "multiple choice",
    "Path": "math/y_intercept"
  },
  {
    "Question": "Which of the following graphs represents exponential growth?",
    "Answer": "C",
    "Explanation": "Exponential growth graphs rise sharply as x increases, indicating that the function value increases rapidly.",
    "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/2/2e/Exponential_growth.svg/1200px-Exponential_growth.svg.png",
    "OptionA": "Linear function",
    "OptionB": "Quadratic function",
    "OptionC": "Exponential function",
    "OptionD": "Logarithmic function",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Exponential Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Graph of Exponential Growth",
    "Item": 5,
    "Type": "multiple choice",
    "Path": "math/exponential_growth_graph"
  },
  {
    "Question": "If a radioactive substance has a half-life of 5 years, how much of a 100g sample remains after 15 years?",
    "Answer": "B",
    "Explanation": "After 15 years, which is three half-lives, the remaining amount is 100g * (1/2)^3 = 100g * 1/8 = 12.5g.",
    "PictureURL": "",
    "OptionA": "25g",
    "OptionB": "12.5g",
    "OptionC": "50g",
    "OptionD": "75g",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Exponential Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Radioactive Decay Calculation",
    "Item": 6,
    "Type": "multiple choice",
    "Path": "math/radioactive_decay"
  },
  {
    "Question": "Which equation represents exponential decay?",
    "Answer": "D",
    "Explanation": "Exponential decay is represented by a function where the base of the exponent is less than 1, indicating a decrease.",
    "PictureURL": "",
    "OptionA": "f(x) = 4 * (2)^x",
    "OptionB": "f(x) = 3 * (1.5)^x",
    "OptionC": "f(x) = 5 * (3)^x",
    "OptionD": "f(x) = 2 * (0.5)^x",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Exponential Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Identifying Exponential Decay",
    "Item": 7,
    "Type": "multiple choice",
    "Path": "math/exponential_decay_equation"
  },
  {
    "Question": "What is the domain of the function f(x) = 3 * (2)^x?",
    "Answer": "A",
    "Explanation": "The domain of an exponential function is all real numbers, as x can take any value.",
    "PictureURL": "",
    "OptionA": "All real numbers",
    "OptionB": "x > 0",
    "OptionC": "x < 0",
    "OptionD": "x is an integer",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Exponential Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Domain of Exponential Functions",
    "Item": 8,
    "Type": "multiple choice",
    "Path": "math/domain_exponential"
  },
  {
    "Question": "In the context of finance, what does exponential growth represent?",
    "Answer": "C",
    "Explanation": "Exponential growth in finance often represents compound interest, where the amount grows at a rate proportional to its current value.",
    "PictureURL": "",
    "OptionA": "Linear savings",
    "OptionB": "Fixed interest",
    "OptionC": "Compound interest",
    "OptionD": "Inflation",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Exponential Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Finance and Exponential Growth",
    "Item": 9,
    "Type": "multiple choice",
    "Path": "math/finance_exponential_growth"
  },
  {
    "Question": "What is the range of the function f(x) = 4 * (2)^x?",
    "Answer": "B",
    "Explanation": "The range of an exponential function is all positive real numbers since the function never reaches zero.",
    "PictureURL": "",
    "OptionA": "All real numbers",
    "OptionB": "y > 0",
    "OptionC": "y < 0",
    "OptionD": "y is an integer",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Exponential Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Range of Exponential Functions",
    "Item": 10,
    "Type": "multiple choice",
    "Path": "math/range_exponential"
  },
  {
    "Question": "Which of the following is a characteristic of exponential decay?",
    "Answer": "A",
    "Explanation": "Exponential decay functions decrease rapidly at first and then level off, approaching zero but never actually reaching it.",
    "PictureURL": "",
    "OptionA": "Decreases rapidly and levels off",
    "OptionB": "Increases without bound",
    "OptionC": "Constant decrease",
    "OptionD": "Linear decrease",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Exponential Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Characteristics of Exponential Decay",
    "Item": 11,
    "Type": "multiple choice",
    "Path": "math/characteristics_decay"
  },
  {
    "Question": "If a car depreciates in value by 20% each year, what is the decay factor?",
    "Answer": "B",
    "Explanation": "The decay factor is calculated as 1 - 0.20 = 0.80, meaning the car retains 80% of its value each year.",
    "PictureURL": "",
    "OptionA": "0.20",
    "OptionB": "0.80",
    "OptionC": "1.20",
    "OptionD": "0.60",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Exponential Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Decay Factor Calculation",
    "Item": 12,
    "Type": "multiple choice",
    "Path": "math/decay_factor"
  },
  {
    "Question": "What is the formula for continuous exponential growth?",
    "Answer": "A",
    "Explanation": "The formula for continuous exponential growth is f(t) = Pe^(rt), where P is the initial amount, r is the growth rate, and t is time.",
    "PictureURL": "",
    "OptionA": "f(t) = Pe^(rt)",
    "OptionB": "f(t) = P(1 + r)^t",
    "OptionC": "f(t) = P(1 - r)^t",
    "OptionD": "f(t) = P(2)^t",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Exponential Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Continuous Exponential Growth Formula",
    "Item": 13,
    "Type": "multiple choice",
    "Path": "math/continuous_growth"
  },
  {
    "Question": "Which of the following is an application of exponential decay?",
    "Answer": "C",
    "Explanation": "Exponential decay is commonly seen in radioactive decay, where the quantity decreases over time at a rate proportional to its current value.",
    "PictureURL": "",
    "OptionA": "Population growth",
    "OptionB": "Investment growth",
    "OptionC": "Radioactive decay",
    "OptionD": "Inflation",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Exponential Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Applications of Exponential Decay",
    "Item": 14,
    "Type": "multiple choice",
    "Path": "math/applications_decay"
  },
  {
    "Question": "What happens to the graph of an exponential function as x approaches negative infinity?",
    "Answer": "A",
    "Explanation": "As x approaches negative infinity, the value of an exponential function approaches zero but never actually reaches it.",
    "PictureURL": "",
    "OptionA": "Approaches zero",
    "OptionB": "Approaches infinity",
    "OptionC": "Becomes negative",
    "OptionD": "Becomes constant",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Exponential Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Behavior of Exponential Functions",
    "Item": 15,
    "Type": "multiple choice",
    "Path": "math/behavior_exponential"
  }
]