Analyzing Functions Using Derivatives Assessment Test

10 Questions | Total Attempts: 104

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Analyzing Functions Using Derivatives Assessment Test

We can analyse functions by using the first and the second derivative of a function. Take this assessment test to evaluate your knowledge of how to analyse functions using derivatives.


Questions and Answers
  • 1. 
    To state function that value of variable y is determined by variable of x is written as...
    • A. 

      F = (x)y

    • B. 

      X = ƒ(y)

    • C. 

      Y = ƒ(x)

    • D. 

      F = (y)x

  • 2. 
    Real world phenomena if shown as mathematical representation then it is called...
    • A. 

      Phenomenal model

    • B. 

      Representational model

    • C. 

      Mathematical model

    • D. 

      Real model

  • 3. 
    Significant models to explain mathematical relationships are represented by...
    • A. 

      Constant functions

    • B. 

      Functions

    • C. 

      Model function

    • D. 

      Exponent function

  • 4. 
    In solving mathematical problems, mathematical function work as...
    • A. 

      Input-output device

    • B. 

      Output-input device

    • C. 

      Solving function

    • D. 

      Terminating function

  • 5. 
    Function is a rule of mathematics in which one input value has...
    • A. 

      Many output value

    • B. 

      Two output value

    • C. 

      Three output value

    • D. 

      One output value

  • 6. 
    Given a function g(x), if g'(x)=0 at a certain value of x, then g(x) has _________ at x.
    • A. 

      An inflection point

    • B. 

      A critical point

    • C. 

      A minimum

    • D. 

      A maximum

  • 7. 
    For a function f(x), f''(4)=0 indicates that x=4 is...
    • A. 

      An inflection point

    • B. 

      A critical point

    • C. 

      A relative minimum

    • D. 

      A relative maximum

  • 8. 
    For a function f(x), f'(-3) = 5 indicates f(x) is ___________ at x=-3.
    • A. 

      Decreasing

    • B. 

      Increasing

    • C. 

      Concave up

    • D. 

      Concave down

  • 9. 
    The slope of a function is described by its...
    • A. 

      Second derivative

    • B. 

      Third derivative

    • C. 

      First derivative

    • D. 

      Expression

  • 10. 
    The concavity of a function is described by its...
    • A. 

      First derivative

    • B. 

      Second derivative

    • C. 

      Expression

    • D. 

      Third derivative