Understanding Functions in Mathematics
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Questions and Answers

What is the function representing the amount of money the student can earn per week?

  • g(h) = 12h - 25
  • f(x) = 12x + 25 (correct)
  • h(x) = 40x - 25
  • f(t) = 25t + 12

    • In the context of the student's earnings, what does the domain of the function represent?

  • The amount of money the student can earn
  • The total amount of money earned by the student
  • The additional weekly allowance given by parents
  • The number of hours the student worked (correct)

    • What is the maximum amount that the student can earn per week?

  • $625
  • $25
  • $1200
  • $505 (correct)

    • What type of function shape does the function for water flow from a sprinkler have?

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

    Which variable in the water flow function is considered as the dependent variable?

    <p>Height of water</p> Signup and view all the answers

    What does the vertex of the parabola in the water flow function represent?

    <p>Maximum height reached by water</p> Signup and view all the answers

    How long is the water in the air in the context of the water flow function?

    <p>6 seconds</p> Signup and view all the answers

    What are the x-intercepts of a parabola called?

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

    What does a squared function shape form when graphed?

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

    What is the domain of the function representing the student's earnings per week?

    <p>All real numbers greater than or equal to zero and less than or equal to 40</p> Signup and view all the answers

    In the context of the student's earnings function, which variable is considered as the independent variable?

    <p>Number of hours worked</p> Signup and view all the answers

    What is the maximum range of earnings per week for the student based on the given function?

    <p>$25 to $505</p> Signup and view all the answers

    What type of function shape does the function representing the student's earnings have?

    <p>Linear function</p> Signup and view all the answers

    What does the vertex of a parabola in the context of the student's earnings function represent?

    <p>The maximum amount the student can earn per week</p> Signup and view all the answers

    What is the dependent variable in the function representing the student's earnings per week?

    <p>Amount earned per week</p> Signup and view all the answers

    What shape does the graph of a parabola represent in the context of the water flow function?

    <p>A curve</p> Signup and view all the answers

    How is the vertex of a parabola calculated when in standard form?

    <p>-b/2a, f(-b/2a)</p> Signup and view all the answers

    What is the dependent variable in the function representing water flow from a sprinkler?

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

    What are the x-intercepts of a parabola in relation to a function?

    <p>Points where y=0</p> Signup and view all the answers

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