Functions Flashcards

1
Q

What is the domain?

A

What goes into the function (typically x)

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2
Q

What is the codomain?

A

What can come out of the function (typically y)

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3
Q

What is the range of a function?

A

What actually comes out of the function f(x)

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4
Q

What is the sign of a function?

A

What tells us whether a function is positive, negative or 0

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5
Q

What is a continuous function?

A

Function with no jumps/gaps

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6
Q

What is a discontinuous function?

A

Function with jumps/gaps

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7
Q

What is the global maxima of a function?

A

The max value of the totalfunction

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8
Q

What is the local maxima of a function?

A

The max value within a range

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9
Q

What is the global minima of a function?

A

Minimum for entire value of function

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10
Q

What is the local minima of a function?

A

Minimum within a range

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11
Q

What is an increasing function?

A

Where increasing x increases y

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12
Q

What is a decreasing function?

A

Where increasing x decreases y

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13
Q

Equation of a straight line

A

y=mx+b
m=slope
b=y intercept

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14
Q

Formula for gradient

A

rise/run=(y2-y1)/(x2-x1)

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15
Q

When lines are perpendicular, how are their gradient compared to each other

A

negative inverse, ma= -1/mb

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16
Q

Formula for distance between two points

A

squareroot of (x2-x1)^2 + (y2-y1)^2

17
Q

Formula for the midpoint of a line

A

(x1+x2)/2, (y1+y2)/2

18
Q

What can be used instead of the distance formula?

A

Pythagoras’ theorem