Linear Functions Quiz
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Questions and Answers

Which of the following is an example of a linear function?

  • y = |x| + 2
  • y = x^2 + 5
  • y = 3x^2 - 4x + 7
  • y = 2x + 3 (correct)
  • What is the slope of the line represented by the equation y = 3x - 2?

  • 2
  • -2
  • 3 (correct)
  • -3
  • Which of the following equations does not represent a linear relationship between x and y?

  • y = -2x - 1
  • y = 0.5x - 3
  • y = 4x + 2
  • y = x^2 + 3x + 1 (correct)
  • If a linear function has a negative slope, how would the graph of the function appear?

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    Study Notes

    Linear Functions

    • A linear function can be identified by the equation in the form y = mx + b, where m is the slope and b is the y-intercept.
    • An example of a linear function is an equation where the highest power of the variable(s) is 1.

    Slope of a Linear Function

    • The slope of a line represented by the equation y = 3x - 2 is 3.
    • The slope of a line can be interpreted as the change in y over the change in x (rise over run).

    Non-Linear Relationships

    • An equation that does not represent a linear relationship between x and y is one where the highest power of the variable(s) is not 1, such as quadratic or exponential equations.

    Graph of a Linear Function with Negative Slope

    • If a linear function has a negative slope, the graph of the function would appear to be decreasing from left to right, with the y-values decreasing as the x-values increase.

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    Description

    Test your knowledge of linear functions with this quiz. Answer questions about identifying linear functions, calculating slopes, and understanding the graphical representation of linear functions.

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