Podcast
Questions and Answers
What is the point called where the x-axis and y-axis intersect?
What is the point called where the x-axis and y-axis intersect?
A relation is a function if every x-value is paired with more than one y-value.
A relation is a function if every x-value is paired with more than one y-value.
False
What is the term for the ratio that shows how one variable changes with respect to another?
What is the term for the ratio that shows how one variable changes with respect to another?
Rate of change
The _______ consists of all the x-values within a relation.
The _______ consists of all the x-values within a relation.
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Match the following terms with their definitions:
Match the following terms with their definitions:
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Study Notes
Coordinate Plane
- Formed by the intersection of two number lines: the x-axis (horizontal) and the y-axis (vertical)
- Origin: The point where the x-axis and y-axis meet (0,0)
- Quadrants: The four regions the axes divide the plane into
- Ordered pair: A pair of numbers (x, y) used to locate a point on the plane
Relations
- Relation: A set of ordered pairs, represented by ordered pairs, tables, or graphs
- Domain: The set of x-values in a relation
- Range: The set of y-values in a relation
- Function: A relation where each x-value is paired with only one y-value. A vertical line passing through the graph of a relation cannot intersect the graph in more than one point
Functions & Equations
- Functions can be represented by equations
- Independent variable: The x-value
- Dependent variable: The y-value
- Graph of an equation: The set of all its ordered pairs; often a line or curve
- Linear equation: An equation whose graph is a line
- Quadratic equation: An equation whose graph is a curve
Slope
- Rate of change: How one variable changes with respect to another
- Slope: The ratio of the vertical change to the horizontal change between any two points on a line. It's constant for all points on the same line.
- Slope formula: m = (y₂ - y₁) / (x₂ - x₁)
- Slope is a fraction in simplest form
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Description
This quiz explores the concepts of the coordinate plane, relations, and functions. It covers important definitions such as ordered pairs, domain, range, and the distinction between linear and quadratic equations. Test your understanding of how these mathematical elements interact and how they are represented graphically.
