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Linear Functions Quiz
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Linear Functions Quiz

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@HeartfeltKangaroo

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Questions and Answers

What is the definition of a linear function?

  • A function that has a constant rate of change (correct)
  • A function that has a quadratic term
  • A function that has a trigonometric term
  • A function that has a logarithmic term
  • Which of the following is an example of a linear function?

  • y = 3x + 2 (correct)
  • y = x^2
  • y = sin(x)
  • y = log(x)
  • What is the slope-intercept form of a linear function?

  • y = mx + b (correct)
  • y = ax^2 + bx + c
  • y = log_a(x)
  • y = a^x
  • Which of the following best describes the gradient of a linear function?

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

    What does the y-intercept of a linear function represent?

    <p>The point where the line crosses the y-axis</p> Signup and view all the answers

    Which of the following is true about linear functions?

    <p>They can have a positive or negative gradient</p> Signup and view all the answers

    Which of the following is true about the gradient of a linear function?

    <p>The gradient represents the slope of the line.</p> Signup and view all the answers

    What does the y-intercept of a linear function represent?

    <p>The point where the line intersects the y-axis.</p> Signup and view all the answers

    Which of the following best describes the slope-intercept form of a linear function?

    <p>y = mx + b</p> Signup and view all the answers

    Study Notes

    Definition of Linear Function

    • A linear function is a function that can be expressed as a straight line on a graph.

    Examples of Linear Functions

    • Examples of linear functions include f(x) = 2x + 3, g(x) = x - 4, and h(x) = 5.

    Slope-Intercept Form of a Linear Function

    • The slope-intercept form of a linear function is y = mx + b, where m is the slope and b is the y-intercept.

    Gradient of a Linear Function

    • The gradient of a linear function represents the rate of change of the output value with respect to the input value.
    • The gradient of a linear function is constant, meaning it does not change at any point on the line.

    Y-Intercept of a Linear Function

    • The y-intercept of a linear function represents the point at which the line crosses the y-axis.
    • The y-intercept is the value of y when x is equal to 0.

    Properties of Linear Functions

    • Linear functions have a constant rate of change, meaning the output value changes at a constant rate as the input value changes.
    • The graph of a linear function is a straight line.

    Properties of Gradient of a Linear Function

    • The gradient of a linear function is a measure of its steepness.
    • A positive gradient indicates a line that slopes upwards, while a negative gradient indicates a line that slopes downwards.

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    Description

    Test your knowledge of linear functions with this quiz! Learn the definition of a linear function, identify examples, and understand the slope-intercept form.

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