Inverse Functions Square Root Quadratic

Identify this function.

• sine function

• cosine function

• rational function

• square root function

Identify this function.

• inverse square function

• cube root function

• cubic function

• cube root squared 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

Are the blue and red graphs inverse functions?

• Yes, the functions reflect over y = x

• No, they do not reflect over the x - axis.

• No way to tell from a graph

What is the inverse of the function?

• f^-1(x) = (x - 8)², x ≥ 8

• f^-1(x) = (x - 8)², x ≥ 0

• f^-1(x) = (x + 8)², x ≥ 8

• f^-1(x) = (x + 8)², x ≥ 0

What is the inverse of the function?

• f^-1(x) = √(x - 2)

• f^-1(x) = √(x + 2)

• f^-1(x) = ± √(x + 2)

• f^-1(x) = ± √(x - 2)

What is the inverse of the function? *HINT* remember opposite!

• f^-1(x) = (x - 8)²

• f^-1(x) = (x - 8)

• f^-1(x) = (x + 8)²

• f^-1(x) = (x + 8)

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

What is the inverse function of a quadratic (x²)?

• A square root function

• 2x

• Another quadratic

• A linear function

• Switch the x and y

• re-write using inverse notation, determine if you need the positive or negative square root

• add 3 to both sides

• subtract 5 from both sides

• take the square root of both sides