genmath Flashcards

1
Q

is a set of ordered pairs

A

relation

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2
Q

what are the kinds of relations?

A

-one to one
-one to many
-many to one

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3
Q

is a rule that pairs each element in one set

A

function

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4
Q

is used to determine if a given graph represents a function

A

vertical line test

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5
Q

is a function that is defined by two or more equations where each equations applies to a certain interval over specified domain

A

piecewise function

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6
Q

a process of calculating the value of a function (y) for given values of x

A

evaluating functions

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7
Q

in evaluating function, the y is the 1. ____ variable while the x is the 2. ____ variable

A
  1. dependent
  2. independent
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8
Q

the process is done by substituting the numerical values of x to the given function

A

evaluating function

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9
Q

an equality involving rational expressions that contains an inequality symbol: <, >, ≤,or ≥

A

rational inequality

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10
Q

product - ?
sum - ?
quotient - ?
difference - ?

A

-multiplication
-addition
-division
-subtraction

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11
Q

how to know if the rational inequality is solution?

A

has…
-shaded
-≤ or ≥
-uses square bracket []

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12
Q

how to know if the rational inequality is not solution?

A

has…
-not shaded
-< or >
-uses parentheses ()

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13
Q

cite the rational inequality steps

A
  1. write the inequality in standard form
  2. find the critical numbers for f(x) by establishing the zero of f(x) and excluded values for f(x)
  3. plot the critical numbers on the number
  4. solve for the best values of x in f(x). make a table signs
  5. write down the answer that satisfies the inequality
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14
Q

how do you read this?
.:SS:{x|x < -1 or 0 < x < 2}

A

therefore, the solution set for the given inequality is set of x such that x is less than -1 or 0 IS less than x but less than 2

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