Unit 3 Relations and Functions Flashcards
What is a Coordinate Plane?
Formed by the intersection of two number lines, the horizontal axis and the vertical axis
What is the x-axis?
The horizontal (left to right) axis on a coordinate plane
What is the y-axis?
The vertical (up and down) axis on a coordiante plane
What are quadrants?
The four regions into which the x and y axis separate the coordinate plane
What is the origin?
It is the point at which the x and y axis intersect on the corrdinate plane at (0,0)
What is an ordered pair?
A set of number or coordinate, written in the form (x,y)
What is the x-coordinate?
The horizontal placement of an ordered pair
What is the y-coordinate?
The vertical placement of an ordered pair
What is a discrete graph?
A graph that consists of points that are not connected
What is a continuous graph?
A function graphed with a line or smooth curve
What is a relation?
A set of ordered pairs
What is a domain?
The set of x values in a relation
What is a range?
The set of y values in a relation
What does a mapping diagram do?
It illistrates how each element of the domain is paired with an element of the range
What is a function?
A relation in which each element of the domain is paired with exactly ONE element of the range
What the simple way of identifying a function?
The x-values don’t repeat
What is function notation?
A way to name a function that is defined by an equation where “y” is replaced with f(x)
What is an input?
A value substituted for an x-value in a function
What is an output?
The result of sustituting a value into a function
What is the vertical line test?
If any vertical line passes through the graph of a relation no more than once, then it is a function
What are zeros of a function?
The x-intercepts of the graph of a function. The points for which f(x) = 0
A set of ordered pairs is a …
Relation
The set of x-values is called the …
Domain
The set of y-values is called the …
Range
Is {(-5,3), (-1,0), (3,4), (-1,2) a function?
No because the x-value repeats (-1)
Is {(0,-8), (5,3), (-4,3), (9,2) a function?
Yes, because no x-value repeats
What are zeros graphically?
The points at which the graph crosses/intersects the x-axis
What are other names for zeros?
Roots, x-intercepts, and solutions
How do you identify zeros algebraically?
Set the function equal to zero and solve it
