Polynomials and Rational Functions Flashcards

1
Q

Dividing/ multiplying by a negative number ————– the Inequality

A

Reverses

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2
Q

distance formula :

A

d = √(x2-x1)^2 + (y2-y1)^2

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3
Q

Slope Formula

A

m= y2-y1/x2-x1

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4
Q

the graph is Horizontal if…..

A

the slope value is equal to zero

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5
Q

The graph is vertical if …..

A

The slope value is undefined

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6
Q

Points are colinear if …

A

The slope are the same

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7
Q

Two graphs are parallel if …

A

Their slopes have the same value

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8
Q

Two graphs are perpendicular if …

A

Their slope product is equal to -1 (m1 . m2 = -1)

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9
Q

Point - slope of a line equation?

A

y = m(x-x1)+y1

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10
Q

slope-intercept form of the line?

A

y=mx+b

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11
Q

vertical line test

if a vertical line passes through the graph more than once the graph is said to be a function (T or F )

A

False, a graph is a function when a vertical passes through it once or never

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12
Q

Any polynomial function is considered a Rational Function as well
( T or F )

A

True

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13
Q

Any Rational function is considered a Polynomial Function as well
( T or F )

A

False, Rational functions cannot be considered as polynomial functions

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14
Q

even roots are defined for … ( ALL real numbers - nonnegative values )

A

nonnegative values only

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15
Q

odd roots are defined for nonnegative values only

T or F

A

False, odd roots are defined for both positive and negative values

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16
Q

square roots on denominator are defined for nonnegative except …

A

Zero

17
Q

Quadratic Formula ?

A

(-b±√(b^2-4ac))/2a