function inverses

Find the inverse for this relation: { (1, -3), (-2, 3), (5, 1), (6, 4) }

• { (1, 3), (2, 3), (5, 1), (6, 4) }

• { (-1, -3), (-2, -3), (-5, -1), (-6, -4) }

• { (3, -1), (-3, 2), (-5, 1), (4, -6) }

• { (-3, 1), (3, -2), (1, 5), (4, 6) }

Are f(x) =x+6 and g(x) =x-6 inverses?

• Yes

• No

Find the inverse: f(x) = 3x + 2

• f^-1(x) = 2x + 3

• f^-1(x) = -3x + 2

• f^-1(x) = (x-2)/3

• f^-1(x) = (x-3)/2

Is the inverse of this a function?

• No

• Yes

Graph the inverse

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To graph the inverse of a function...

• Rotate it around the origin

• Reflect it across the x-axis

• Reflect it across the y-axis

• Switch the x and y coordinates and plot the new points

You restrict the domain when...

• The inverse is not a function

• The inverse is a function

Restricting the domain is another way to say restricting the...

• y-values

• x-values

• Odd numbers

• Even numbers

Find the inverse

• f^-1(x) = 2x+16

• f^-1(x) = 2x-16

• f^-1(x) = 2x - 8

• f^-1(x) = x + 16

f^-1(x) is written when...

• The inverse is not a function

• The function fails the HLT

• The inverse is a function

• There are two different functions