Unit 1: General Functions Flashcards

1
Q

Function

A

every input x has exactly one output y

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2
Q

Relation

A

a set of ordered pairs

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3
Q

ordered pair

A

a pair of input x and output y

(x , y)

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4
Q

input

A

independent variable

x-value

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5
Q

output

A

dependent variable

y value

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6
Q

Evaluate

A

given an input x what is the output y

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7
Q

P.L.A.Q.E.S Functions

A

Piecewise, Linear, Absolute Value, Quadratic, Exponential, Square Root Function

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8
Q

How do I Identify a Piecewise Function?

A

it looks like pieces of functions with different domains

it can have an open point (no solution)

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9
Q

How do I identify a Linear Function?

A

straight, horizontal or diagonal lines

written in y=mx+b or Ax+By=C form

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10
Q

How do I identify an Absolute Value Function?

A

the graph looks like the letter V

it has absolute value bars “ |x|”

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11
Q

How do I identify a Quadratic Function?

A

the graph looks like the letter U

the highest exponent is a 2

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12
Q

How do I identify an Exponential Function?

A

the variable is an exponent

the graph either increases or decreases quickly

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13
Q

How do I identify a Square Root Function?

A

the graph looks like a stretched letter r

it always has the square root symbol

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14
Q

variable

A

A letter or symbol that represents a number that can change

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15
Q

coefficient

A

a number multiplied to a variable.

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16
Q

constant

A

a number without a variable that so it can never change

17
Q

domain

A

All possible inputs

18
Q

range

A

All possible outputs

19
Q

function notation

A

f(x)

20
Q

mapping diagram

A

a diagram where inputs are paired to outputs using arrows

21
Q

vertical line test

A

a quick test used to see if a graph is a function