Chapter 14 - Exponentials and logarithms Flashcards

(11 cards)

1
Q

What does the function f(x) + b do?

A

Shifts the function b units upward

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2
Q

What does the function f(x) - b do?

A

Shift the function b units downward

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3
Q

What does the function f(x + b) do?

A

Shifts the function b units to the left

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4
Q

What does the function f(x-b) do?

A

Shifts the function b units to the right

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5
Q

What does the function -f(x) do?

A

Reflects the function in the x-axis (upside down)

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6
Q

What does the function f(-x) do?

A

Reflects the functioning the y-axis (swapping the left and right sides)

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7
Q

What does the function af(x), a>1 do?

A

Stretch vertically by a factor of a

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8
Q

What does the function af(x), a<1 do?

A

Compress vertically by a factor of a

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9
Q

What does the function f(ax), a>1 do?

A

Compress horizontally by a factor of 1/a

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10
Q

What does the function f(ax), 0<a></a>

A

Stretch horizontally by a factor of 1/a

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11
Q

What does it mean if a graph has equation y=mx?

A

It goes through the origin

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