[
  {
    "Question": "What is the general form of an exponential function?",
    "Answer": "A",
    "Explanation": "The general form of an exponential function is f(x) = a * b^x, where 'a' is a constant, 'b' is the base, and 'x' is the exponent.",
    "PictureURL": "",
    "OptionA": "f(x) = a * b^x",
    "OptionB": "f(x) = a + bx",
    "OptionC": "f(x) = ax^2 + bx + c",
    "OptionD": "f(x) = a * log(bx)",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Exponential Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Understanding Exponential Functions",
    "Item": 1,
    "Type": "multiple choice",
    "Path": "exponential-functions/general-form"
  },
  {
    "Question": "Which of the following represents exponential growth?",
    "Answer": "B",
    "Explanation": "Exponential growth occurs when the growth rate of a value is proportional to its current value, typically represented by f(x) = a * e^(kx) where k > 0.",
    "PictureURL": "",
    "OptionA": "f(x) = a * e^(-kx)",
    "OptionB": "f(x) = a * e^(kx)",
    "OptionC": "f(x) = a + bx",
    "OptionD": "f(x) = ax^2",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Exponential Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Exponential Growth Identification",
    "Item": 2,
    "Type": "multiple choice",
    "Path": "exponential-functions/exponential-growth"
  },
  {
    "Question": "What is the formula for compound interest?",
    "Answer": "A",
    "Explanation": "The formula for compound interest is A = P(1 + r/n)^(nt), where A is the amount of money accumulated after n years, including interest, P is the principal amount, r is the annual interest rate, n is the number of times that interest is compounded per year, and t is the time in years.",
    "PictureURL": "",
    "OptionA": "A = P(1 + r/n)^(nt)",
    "OptionB": "A = P(1 + rt)",
    "OptionC": "A = Pe^(rt)",
    "OptionD": "A = P + Prt",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Exponential Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Compound Interest Formula",
    "Item": 3,
    "Type": "multiple choice",
    "Path": "exponential-functions/compound-interest"
  },
  {
    "Question": "If a population of bacteria doubles every 3 hours, what type of function describes this growth?",
    "Answer": "C",
    "Explanation": "The growth of the bacteria population can be modeled by an exponential function, specifically f(t) = a * 2^(t/3), where t is time in hours.",
    "PictureURL": "",
    "OptionA": "Linear function",
    "OptionB": "Quadratic function",
    "OptionC": "Exponential function",
    "OptionD": "Logarithmic function",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Exponential Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Bacterial Growth Model",
    "Item": 4,
    "Type": "multiple choice",
    "Path": "exponential-functions/bacterial-growth"
  },
  {
    "Question": "What happens to the graph of an exponential decay function as x approaches infinity?",
    "Answer": "B",
    "Explanation": "As x approaches infinity, the value of an exponential decay function approaches zero, meaning the graph gets closer to the x-axis but never touches it.",
    "PictureURL": "",
    "OptionA": "It approaches a positive value.",
    "OptionB": "It approaches zero.",
    "OptionC": "It increases without bound.",
    "OptionD": "It oscillates indefinitely.",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Exponential Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Behavior of Exponential Decay",
    "Item": 5,
    "Type": "multiple choice",
    "Path": "exponential-functions/exponential-decay"
  },
  {
    "Question": "Which transformation occurs when the function f(x) = 2^x is changed to f(x) = 2^(x - 3)?",
    "Answer": "A",
    "Explanation": "The transformation from f(x) = 2^x to f(x) = 2^(x - 3) represents a horizontal shift to the right by 3 units.",
    "PictureURL": "",
    "OptionA": "Horizontal shift to the right",
    "OptionB": "Horizontal shift to the left",
    "OptionC": "Vertical shift upwards",
    "OptionD": "Vertical shift downwards",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Exponential Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Transformations of Exponential Functions",
    "Item": 6,
    "Type": "multiple choice",
    "Path": "exponential-functions/transformations"
  },
  {
    "Question": "If an investment of $1000 is compounded annually at a rate of 5%, how much will it be worth after 10 years?",
    "Answer": "B",
    "Explanation": "Using the compound interest formula A = P(1 + r/n)^(nt), we find A = 1000(1 + 0.05/1)^(1*10) = $1628.89.",
    "PictureURL": "",
    "OptionA": "$1500",
    "OptionB": "$1628.89",
    "OptionC": "$2000",
    "OptionD": "$1200",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Exponential Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Compound Interest Calculation",
    "Item": 7,
    "Type": "multiple choice",
    "Path": "exponential-functions/investment-value"
  },
  {
    "Question": "What is the base of the natural exponential function?",
    "Answer": "A",
    "Explanation": "The base of the natural exponential function is 'e', which is approximately equal to 2.71828.",
    "PictureURL": "",
    "OptionA": "e",
    "OptionB": "10",
    "OptionC": "2",
    "OptionD": "3",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Exponential Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Base of Natural Exponential Function",
    "Item": 8,
    "Type": "multiple choice",
    "Path": "exponential-functions/natural-base"
  },
  {
    "Question": "Which of the following is an example of exponential decay?",
    "Answer": "C",
    "Explanation": "Exponential decay occurs when a quantity decreases at a rate proportional to its current value, such as radioactive decay, which can be modeled by f(t) = a * e^(-kt).",
    "PictureURL": "",
    "OptionA": "Population growth",
    "OptionB": "Investment growth",
    "OptionC": "Radioactive decay",
    "OptionD": "Interest accumulation",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Exponential Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Identifying Exponential Decay",
    "Item": 9,
    "Type": "multiple choice",
    "Path": "exponential-functions/exponential-decay-example"
  },
  {
    "Question": "If the function f(x) = 3^x is reflected over the x-axis, what is the new function?",
    "Answer": "B",
    "Explanation": "Reflecting the function f(x) = 3^x over the x-axis results in f(x) = -3^x, which inverts the values of the original function.",
    "PictureURL": "",
    "OptionA": "3^x",
    "OptionB": "-3^x",
    "OptionC": "3^(-x)",
    "OptionD": "3^(x) + 1",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Exponential Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Reflection of Exponential Functions",
    "Item": 10,
    "Type": "multiple choice",
    "Path": "exponential-functions/reflection"
  },
  {
    "Question": "What is the effect of a vertical stretch on the function f(x) = 2^x?",
    "Answer": "C",
    "Explanation": "A vertical stretch of the function f(x) = 2^x by a factor of 3 results in the new function g(x) = 3 * 2^x, which increases the output values.",
    "PictureURL": "",
    "OptionA": "It decreases the output values.",
    "OptionB": "It shifts the graph downwards.",
    "OptionC": "It increases the output values.",
    "OptionD": "It reflects the graph over the x-axis.",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Exponential Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Vertical Stretch of Exponential Functions",
    "Item": 11,
    "Type": "multiple choice",
    "Path": "exponential-functions/vertical-stretch"
  },
  {
    "Question": "What is the domain of the function f(x) = e^x?",
    "Answer": "A",
    "Explanation": "The domain of the function f(x) = e^x is all real numbers, as the exponential function is defined for every real number x.",
    "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": 12,
    "Type": "multiple choice",
    "Path": "exponential-functions/domain"
  },
  {
    "Question": "If the function f(x) = 4^x is transformed to f(x) = 4^(x + 2), what type of transformation is this?",
    "Answer": "B",
    "Explanation": "The transformation from f(x) = 4^x to f(x) = 4^(x + 2) represents a horizontal shift to the left by 2 units.",
    "PictureURL": "",
    "OptionA": "Vertical shift upwards",
    "OptionB": "Horizontal shift to the left",
    "OptionC": "Horizontal shift to the right",
    "OptionD": "Vertical shift downwards",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Exponential Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Horizontal Transformation of Exponential Functions",
    "Item": 13,
    "Type": "multiple choice",
    "Path": "exponential-functions/horizontal-transformation"
  },
  {
    "Question": "What is the range of the function f(x) = 2^x?",
    "Answer": "A",
    "Explanation": "The range of the function f(x) = 2^x is all positive real numbers, as the exponential function never reaches zero.",
    "PictureURL": "",
    "OptionA": "y > 0",
    "OptionB": "y < 0",
    "OptionC": "All real numbers",
    "OptionD": "y = 0",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Exponential Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Range of Exponential Functions",
    "Item": 14,
    "Type": "multiple choice",
    "Path": "exponential-functions/range"
  },
  {
    "Question": "If the half-life of a substance is 5 years, how much of a 100g sample remains after 15 years?",
    "Answer": "C",
    "Explanation": "After 15 years, which is three half-lives, the remaining amount can be calculated as 100g * (1/2)^3 = 12.5g.",
    "PictureURL": "",
    "OptionA": "25g",
    "OptionB": "50g",
    "OptionC": "12.5g",
    "OptionD": "75g",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Exponential Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Half-Life Calculation",
    "Item": 15,
    "Type": "multiple choice",
    "Path": "exponential-functions/half-life"
  }
]