Inverse of Square Root Functions

Presentation

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Mathematics

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9th - 12th Grade

•

Practice Problem

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Medium

•

CCSS

HSF-BF.B.4A, HSF-BF.B.4C, 8.F.A.1

Standards-aligned

Edgar Rodriguez

Used 92+ times

FREE Resource

3 Slides • 13 Questions

Inverse of Square Root Functions

Graphing the Inverse

Solving for Inverses Algebraically

Multiple Choice

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

Multiple Choice

Which is the inverse of the table?

Multiple Choice

What is the DOMAIN of the function?

[-3, infinity)

[0, infinity)

[3, inifinity)

(-infinity, 0}

Multiple Choice

Find the inverse function of $y=\sqrt{x+11}$

$y=x^2-11$

$y=x^2+11$

$y=\left(x+11\right)^2$

$y=\left(x-11\right)^2$

Multiple Choice

Find the inverse function of $f\left(x\right)=\sqrt{x}-6$

$y=\left(x+6\right)^2$

$y=\left(x-6\right)^2$

$y=x^2+6$

$y=x^2+36$

Multiple Choice

Find the inverse of $f\left(x\right)=\sqrt{x+2}+9$

$f\left(x\right)=\left(x-9\right)^2-2$

$f\left(x\right)=\left(x+9\right)^2+2$

$f\left(x\right)=\sqrt{x+9}+2$

$f\left(x\right)=\sqrt{x-9}-2$

Multiple Choice

Find the inverse function of $y=\sqrt{5x}$

$y=\frac{1}{5}x^2$

$y=5x^2$

$y=10x^2$

$y=\sqrt{3x+1}$

Multiple Choice

When finding the inverse of a relation,
1st you replace f(x) with y
2nd switch the x's and y's
What do you do next?

solve for y

replace y with f^-1(x)

solve for x

find the greatest common factor

Multiple Choice

What is the range of the function in this graph?

(- ∞, 3]

[3, ∞)

(-∞, 0]

[0,∞)

Multiple Choice

The domain of a square root function is $\left[4,\infty\right)$ .

What is the RANGE of the inverse?

$\left[-4,\infty\right)$

$\left(-\infty\ ,4\right]$

$\left[4,\infty\right)$

Cannot be determined

Multiple Choice

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

f ^-1(x)

f ²(x)

f '(x)

f ⁺(x)

Multiple Choice

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)

Multiple Choice

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)

Inverse of Square Root Functions

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