Evaluating Functions with Given Parameters
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Questions and Answers

What is a function?

  • A relation where the output determines the input
  • A relation where the input and output are the same
  • A relation where no two distinct ordered pairs have the same first element (correct)
  • A relation where each input has multiple outputs
  • In a function, what is the input variable also known as?

  • Control variable
  • Output variable
  • Independent variable (correct)
  • Dependent variable
  • Which of the following represents a function? $y = x^2 + 3$

  • $y = 3x$
  • $x^2 + y = 3$
  • $y = x^2 + 3$ (correct)
  • $x = y^2 + 3$
  • What does the dependent variable represent in a function?

    <p>The output variable</p> Signup and view all the answers

    Which operation involves multiplying two functions together?

    <p>Multiplication of functions</p> Signup and view all the answers

    What is a crucial step when looking for a function given x and y values?

    <p>Substitute values into the function choices</p> Signup and view all the answers

    How do you determine if an ordered pair is part of a function?

    <p>By checking if the first element is repeated with a different second element</p> Signup and view all the answers

    What should you be cautious of when writing piecewise functions?

    <p>Overlapping intervals</p> Signup and view all the answers

    What must you remember when solving operations on functions?

    <p>Combine like terms</p> Signup and view all the answers

    In which scenario should you factor a given function before cancellation?

    <p>Before division to cancel out terms</p> Signup and view all the answers

    What should you pay attention to when subtracting functions?

    <p>The change of signs</p> Signup and view all the answers

    How can you quickly narrow down choices when determining if an equation represents a function?

    <p>Check if it starts with 'f(x)=' or 'y='</p> Signup and view all the answers

    What is the value of 𝑃(30) according to the provided definition?

    <p>3300</p> Signup and view all the answers

    If 𝑓(𝑥) = 4𝑥 − 3, what is 𝑓(7) equal to?

    <p>29</p> Signup and view all the answers

    How would you graph the function 𝑔(𝑥) = −2𝑥 + 5?

    <p>Straight line</p> Signup and view all the answers

    For a function 𝑚(𝑥) = 2𝑥 + 7, what is the value of 𝑚(−3)?

    <p>-11</p> Signup and view all the answers

    If 𝑘(𝑥) = −3𝑥 + 4, what is the value of 𝑘(0)?

    <p>-3</p> Signup and view all the answers

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