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

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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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