Algebra 1 Relations and Functions Flashcards
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Questions and Answers

What is the definition of a coordinate plane?

Formed by the intersection of two number lines, the horizontal axis and the vertical axis.

What is the definition of x-axis?

The horizontal axis on a coordinate plane.

What is the definition of y-axis?

The vertical axis on a coordinate plane.

What is the definition of quadrants?

<p>The four regions into which the x-axis and y-axis separate the coordinate plane.</p> Signup and view all the answers

What is the definition of origin?

<p>The point at which the x- and y-axis intersect on the coordinate plane (0,0).</p> Signup and view all the answers

What is the definition of an ordered pair?

<p>A set of numbers, or coordinates, written in the form (x, y).</p> Signup and view all the answers

What is the definition of a x-coordinate?

<p>The x-value of an ordered pair, represents the horizontal placement of the point.</p> Signup and view all the answers

What is the definition of a y-coordinate?

<p>The y-value of an ordered pair, represents the vertical placement of the point.</p> Signup and view all the answers

What is the definition of a discrete graph?

<p>A graph that consists of points that are not connected.</p> Signup and view all the answers

What is the definition of a continuous graph?

<p>A function graphed with a line or smooth curve.</p> Signup and view all the answers

What is the definition of a relation?

<p>A set of ordered pairs.</p> Signup and view all the answers

What is the definition of domain?

<p>The set of first numbers (x-values) of the ordered pairs of a relation.</p> Signup and view all the answers

What is the definition of range?

<p>The set of second numbers (y-values) of the ordered pairs of a relation.</p> Signup and view all the answers

What is the definition of mapping?

<p>Illustrates how each element of the domain is paired with an element of the range.</p> Signup and view all the answers

What is the definition of function?

<p>A relation in which each element of the domain is paired with exactly one element of the range.</p> Signup and view all the answers

What is the definition of function notation?

<p>A way to name a function that is defined by an equation.</p> Signup and view all the answers

What is the definition of input?

<p>A value substituted for the 'x'-value in a function.</p> Signup and view all the answers

What is the definition of output?

<p>The result of substituting a value into a function.</p> Signup and view all the answers

What is the definition of a vertical line test?

<p>If any vertical line passes through the graph of a relation no more than once, than it is a function.</p> Signup and view all the answers

What is the definition of zeros?

<p>The x-intercepts of the graph of a function. The points for which f(x)=0.</p> Signup and view all the answers

Study Notes

Coordinate Plane

  • Formed by the intersection of horizontal (x-axis) and vertical (y-axis) number lines.

Axes

  • x-axis: The horizontal axis on a coordinate plane.
  • y-axis: The vertical axis on a coordinate plane.

Quadrants

  • The coordinate plane is divided into four regions, called quadrants, by the x-axis and y-axis.

Origin

  • The intersection point of the x-axis and y-axis, designated as (0,0).

Coordinates

  • Ordered pair: A set of numbers written in the form (x,y).
  • x-coordinate: The first number in an ordered pair, indicating horizontal placement.
  • y-coordinate: The second number in an ordered pair, indicating vertical placement.

Graph Types

  • Discrete graph: Consists of unconnected points.
  • Continuous graph: Represented by a line or smooth curve.

Relations and Functions

  • Relation: A collection of ordered pairs.
  • Domain: The set of all first elements (x-values) in a relation.
  • Range: The set of all second elements (y-values) in a relation.
  • Mapping: Illustrates the pairing between elements of domain and range.
  • Function: A special relation where each domain element corresponds to exactly one range element.

Function Notation

  • A systematic way to name a function defined by an equation.

Inputs and Outputs

  • Input: The value substituted for the x-value in a function.
  • Output: The result obtained after substituting an input value into a function.

Vertical Line Test

  • A method to determine if a relation is a function; if a vertical line intersects the graph at most once, it is classified as a function.

Zeros

  • Also known as x-intercepts, these points occur where the function's output (f(x)) equals zero.

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Description

This quiz features flashcards focused on key definitions related to the coordinate plane, including terms like x-axis and y-axis. It's designed to help students grasp essential concepts in Algebra 1. Test your understanding and improve your vocabulary in this foundational mathematical topic.

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