Pre-Algebra: Graphing Functions Flashcards

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?

y = mx + b Signup and view all the answers

What is the definition of the y-intercept?

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

What does an ordered pair refer to?

The x, y coordinates on a graph Signup and view all the answers

What are the coordinates of the origin?

(0, 0) Signup and view all the answers

What does the y-coordinate represent in a graph?

Vertical lines Signup and view all the answers

What does the x-coordinate represent in a graph?

Horizontal lines Signup and view all the answers

To find slope you need to calculate ________.

rise/run 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).

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.