Unit 3 Relations and Functions Flashcards

1
Q

What is a Coordinate Plane?

A

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

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2
Q

What is the x-axis?

A

The horizontal (left to right) axis on a coordinate plane

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3
Q

What is the y-axis?

A

The vertical (up and down) axis on a coordiante plane

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4
Q

What are quadrants?

A

The four regions into which the x and y axis separate the coordinate plane

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5
Q

What is the origin?

A

It is the point at which the x and y axis intersect on the corrdinate plane at (0,0)

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6
Q

What is an ordered pair?

A

A set of number or coordinate, written in the form (x,y)

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7
Q

What is the x-coordinate?

A

The horizontal placement of an ordered pair

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8
Q

What is the y-coordinate?

A

The vertical placement of an ordered pair

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9
Q

What is a discrete graph?

A

A graph that consists of points that are not connected

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10
Q

What is a continuous graph?

A

A function graphed with a line or smooth curve

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11
Q

What is a relation?

A

A set of ordered pairs

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12
Q

What is a domain?

A

The set of x values in a relation

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13
Q

What is a range?

A

The set of y values in a relation

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14
Q

What does a mapping diagram do?

A

It illistrates how each element of the domain is paired with an element of the range

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15
Q

What is a function?

A

A relation in which each element of the domain is paired with exactly ONE element of the range

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16
Q

What the simple way of identifying a function?

A

The x-values don’t repeat

17
Q

What is function notation?

A

A way to name a function that is defined by an equation where “y” is replaced with f(x)

18
Q

What is an input?

A

A value substituted for an x-value in a function

19
Q

What is an output?

A

The result of sustituting a value into a function

20
Q

What is the vertical line test?

A

If any vertical line passes through the graph of a relation no more than once, then it is a function

21
Q

What are zeros of a function?

A

The x-intercepts of the graph of a function. The points for which f(x) = 0

22
Q

A set of ordered pairs is a …

A

Relation

23
Q

The set of x-values is called the …

A

Domain

24
Q

The set of y-values is called the …

A

Range

25
Q

Is {(-5,3), (-1,0), (3,4), (-1,2) a function?

A

No because the x-value repeats (-1)

26
Q

Is {(0,-8), (5,3), (-4,3), (9,2) a function?

A

Yes, because no x-value repeats

27
Q

What are zeros graphically?

A

The points at which the graph crosses/intersects the x-axis

28
Q

What are other names for zeros?

A

Roots, x-intercepts, and solutions

29
Q

How do you identify zeros algebraically?

A

Set the function equal to zero and solve it