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Even and Odd Functions

Quiz by Dr. Dishant Pandya

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9 questions
Show answers
  • Q1
    What is an even function?
    A function that satisfies f(x*y) = f(x)*f(y) for all x and y in the domain
    A function that satisfies f(x) = -f(x) for all x in the domain
    A function that satisfies f(-x) = f(x) for all x in the domain
    A function that satisfies f(x+y) = f(x)+f(y) for all x and y in the domain
    30s
  • Q2
    What is an odd function?
    A function that satisfies f(x+y) = f(x)+f(y) for all x and y in the domain
    A function that satisfies f(x) = f(x) for all x in the domain
    A function that satisfies f(x*y) = f(x)*f(y) for all x and y in the domain
    A function that satisfies f(-x) = -f(x) for all x in the domain
    30s
  • Q3
    Which of the following statements is true about even functions?
    They are symmetric with respect to the y-axis
    They are symmetric with respect to the x-axis
    They have a positive y-intercept
    They always pass through the origin
    30s
  • Q4
    What is the property of odd functions?
    f(-x) = -f(x) for all x in the domain
    f(x*y) = f(x)*f(y) for all x and y in the domain
    f(-x) = f(x) for all x in the domain
    f(x+y) = f(x)+f(y) for all x and y in the domain
    30s
  • Q5
    Which of the following functions is an example of an even function?
    f(x) = 2x+1
    f(x) = sqrt(x)
    f(x) = x^3
    f(x) = sin(x)
    f(x) = x^2
    30s
  • Q6
    Which of the following functions is an example of an odd function?
    f(x) = 2x+1
    f(x) = sin(x)
    f(x) = sqrt(x)
    f(x) = x^3
    f(x) = x^2
    30s
  • Q7
    Which of the following functions is neither even nor odd?
    f(x) = x^2 - 3x
    f(x) = sin(x)
    f(x) = x + 1
    f(x) = sqrt(x)
    f(x) = -x
    30s
  • Q8
    What is the property of even functions?
    f(-x) = -f(x) for all x in the domain
    f(x*y) = f(x)*f(y) for all x and y in the domain
    f(x+y) = f(x)+f(y) for all x and y in the domain
    f(-x) = f(x) for all x in the domain
    30s
  • Q9
    Which of the following statements is true about odd functions?
    They pass through the origin
    They have a positive y-intercept
    They satisfy f(-x) = f(x) for all x in the domain
    They are symmetric with respect to the y-axis
    30s

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