Pre-Algebra: Graphing Functions Flashcards
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Questions and Answers

What is a linear function?

  • A function whose output is constant
  • A function defined by a polynomial of degree 3
  • A function whose points lie on a straight line when graphed (correct)
  • A function that points are graphed in a circle

    • What is the formula for the rate of change?

    change in one quantity / change in another quantity

    What is slope?

    rise/run

    What is the slope-intercept form of a linear equation?

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

    What is the definition of the y-intercept?

    <p>The point where the graph of a function crosses the y-axis</p> Signup and view all the answers

    What does an ordered pair refer to?

    <p>The x, y coordinates on a graph</p> Signup and view all the answers

    What are the coordinates of the origin?

    <p>(0, 0)</p> Signup and view all the answers

    What does the y-coordinate represent in a graph?

    <p>Vertical lines</p> Signup and view all the answers

    What does the x-coordinate represent in a graph?

    <p>Horizontal lines</p> Signup and view all the answers

    To find slope you need to calculate ________.

    <p>rise/run</p> Signup and view all the answers

    Study Notes

    Linear Functions

    • A linear function represents a relationship depicted as a straight line on a graph.

    Rate of Change

    • Compares the change between two varying quantities.
    • Formula: Rate of change = change in one quantity / change in another quantity.

    Slope

    • The slope measures the steepness of a line.
    • Calculated as: Slope = rise (vertical change) / run (horizontal change).

    Slope-Intercept Form

    • The mathematical representation of a line is y = mx + b.
    • Here, m represents the slope and b is the y-intercept.

    Slope of a Line

    • Slope is determined using the change in the y-coordinate divided by the change in the x-coordinate.
    • Formula: Slope = change in y / change in x.

    Y-Intercept

    • The y-intercept is where the line crosses the y-axis of a graph.

    Ordered Pair

    • Represents coordinates on a graph, formatted as (x, y).

    Origin

    • The point (0, 0) where both the x-axis and y-axis intersect.

    Y Coordinate

    • Indicates vertical position on a graph, aligned with the y-axis.

    X Coordinate

    • Indicates horizontal position on a graph, aligned with the x-axis.

    Finding Slope

    • To determine the slope of a line, calculate the rise over the run (rise/run).

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    Description

    Explore key concepts in graphing functions with these flashcards. Learn about linear functions, rates of change, and slope, all essential topics in pre-algebra. Perfect for students looking to enhance their understanding of mathematical functions.

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