Inverse Functions

What is the inverse of the given coordinates: (1, 2) (3, 8) (-3, 6)

• (1, 2) (3, 8) (-3, 6)

• (1, 2) (8, 3) (-3, 6)

• (-1, -2) (-3, -8) (3, -6)

• (2, 1) (8, 3) (6, -3)

Answer explanation

Remember to find coordinates of the inverse function, you just swap x and y values.

Are these inverse functions?

• no

• yes

• no way to tell

Answer explanation

The x and y coordinates should be swapped.

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

Answer explanation

Reference desmos slides if you are stuck here!

Was the inverse function found correctly?

• no,
• yes

Tags

CCSS.HSF.BF.B.4

The inverse has been reflected over which line?

• y = x
• y =1
• y = 0
• y = x + 1

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSG.CO.A.5

Are these the graphs of two inverse functions?

• Yes
• No
• No way to tell

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.9

Find the inverse of f(x) = x² - 5

• f^-1(x) = √(x) + 5
• f^-1(x) = ∛(x-5)
• f^-1(x) =√(x+5)
• f^-1(x) = x² - 5

Tags

CCSS.HSF.BF.B.4

Are the following inverses of each other?

• True
• False

Tags

CCSS.HSF.BF.B.4

Are these inverse functions?

• yes
• no
• no way to tell

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.IF.A.1

Which of the following compositions show that f(x) is the inverse of g(x)?

• f(g(x)) = 1 and g(f(x)) = 1

• f(g(x)) = x and g(f(x)) = x

• f(g(x)) = 0 and g(f(x)) = 0

• f(g(x)) = f/g and g(f(x)) = g/f