CW 1.2_Inverse Function

What does it mean to find the inverse of a function?

• the x's and y's are switched
• the x's and y's are divided by 2
• the x's and y's are made negative
• the x's and y's are the same

The inverse of the function f(x) is written as ...

• f ^-1(x)
• f ²(x)
• f '(x)
• f ⁺(x)

If the equation of f(x) goes through (-1, 4) and (4, 6), what points does f^-1(x) go through?

• (1, 4) and (4, 6)

• (-4, -1) and (-6, -4)

• (-1, -4) and (-4, -6)

• (4, -1) and (6, 4)

If f^-1(-25) = 7 then f(7) =​ (a)  

• -25
• 25
• 7
• -7

Which is the inverse of the table?

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Determine which function is one-to-one.

(a)  

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

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

• {(1, -2), (2, -1), (3, 0), (4, 1), (5, 2)}
• {(3, 1), (3, 2), (3, 3), (3, 4), (3, 5)}

Determine which function is one-to-one?

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Determine which function is NOT one-to-one

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If a function contains the points

(-6,3) (-4,5) (1, -3) (5,-4)

Graph the inverse function's points

Answer explanation

To find the inverse, you must swap the x and y values on a point

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

(a)  

• { (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) }