Topics 1-3 Flashcards

graphs and functions linear functions piecewise functions

1
Q

range

A

set of all values that dependent variable can take on

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2
Q

Function

A

Directional relationship b/w variables

-each input produces exactly one output

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3
Q

Fill in the blank with variables x and y.

_____ is a function of____

A

Y is a function of X

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4
Q

piecewise function

A

includes equations and x in between inequality signs

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5
Q

domain

A

set of all values that the independent variable can take on

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6
Q

what variable values do you use to describe intervals?

A

x-values

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7
Q

name all parts of the equation

d=f(t)

A

d- dependent variable
f- name of function
(t)- independent variable

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8
Q

describe a function that’s constant

A

dependent variable values remain constant as you move along the graph

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9
Q

how can you tell if the dependent variable values are decreasing

A

dependent variable values are decreasing as you move along the graph

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10
Q

when do you always use paranthesis

A

to describe intervals (in parathesis)

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11
Q

domain in context

A

set of inputs that work in the scenario presented in the word problem

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12
Q

how do you read function notation

Ex: d=f(t)

A

distance is a function of time

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13
Q

NOW-NEXT equation

A

now + ____= next

(babied down version of explicit equation

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14
Q

domain out of context

A

set of inputs that work mathematically (inputs that produce a real number output)

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15
Q

rate of change of a function

A

RATIO representing how the dependent variable changes with respect to a change in the independent variable

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16
Q

how can you tell if a function is increasing

A

if dependent variable values are increasing as you move along the graph