Inverse Functions Review

Presentation

•

Mathematics

•

11th Grade

•

Medium

•

CCSS

HSF.IF.A.1, HSF.BF.B.4, HSA.APR.A.1

Standards-aligned

Tom Giles

Used 15+ times

FREE Resource

5 Slides • 28 Questions

Inverse Relations & Functions Review

Dr. Tom Giles

4 steps to find inverse function

•Step1: Let f(x) = y

•Step 2: Interchange x and y

•Step 3: Solve for y

•Step 4: Change y to f^-1(x)

Subject | Subject

Some text here about the topic of discussion

Find the inverse of the following function: f(x) = x -3

4 steps to find inverse function

•Step1: Let f(x) = y

•Step 2: Interchange x and y

•Step 3: Solve for y

•Step 4: Change y to f^-1(x)

Subject | Subject

Some text here about the topic of discussion

Find the inverse of the following function: f(x) = x -3

Multiple Choice

Find the inverse of f(x) = -4x - 12

f^-1(x) = 4x - 3

f^-1(x) = -1/4x - 3

f^-1(x) = 1/4x + 3

f^-1(x) = -4x - 3

Multiple Choice

Are the following inverses of each other? Use composition of functions. fog(x) and gof(x)

True

False

Multiple Choice

Was the inverse function found correctly?

no,

yes

Multiple Choice

Find the inverse of
f(x) = 1/4x - 7

f^-1(x) = 4x + 7

f^-1(x) = -4x + 28

f^-1(x) = -4x - 7

f^-1(x) = 4x + 28

Multiple Choice

Find the inverse of the function
f(x) = 3x − 5

f^-1(x)=3x +5

f^-1(x)=(x+5)/3

f^-1(x)=3y-5

f^-1(x)=3y+5

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

If f(x)=x+5, what is f^-1(x)?

(x + 5)²

x - 5

(x + 5)^-1

undefined

Multiple Choice

If f(x)=3x, what is f^-1(x)?

x/3

3x²

3x + 3x

3x^-1

Multiple Choice

f(x) = 3x + 10

g(x) = ⅓x - 3

Find g(f(x))

f(g(x)) = 1

f(g(x)) = x

f(g(x)) = 0

None of these.

Multiple Choice

What is the inverse of the function
f(x) = 2x + 4 ?

f^-1(x) = 4(x -2)

f^-1(x) = (x-4)/2

f^-1(x) = x/2 - 4

f^-1(x) = x/4 + 2

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 points
(1,3)(2,4)(6,8)

(3,1)(4,2)(8,6)

(-3,-1)(-4,-2)(-8,-6)

(1,3)(2,4)(6,8)

(-1,-3)(-2,-4)(-6,-8)

Multiple Choice

√15

Multiple Choice

9 - √17

√8

Multiple Choice

-1

-1/3

-5/3

Multiple Choice

When f(x) = x²-3 and g(x) = 2x+8 , find g(f(2)).

144

141

Multiple Choice

Find the inverse function

Multiple Choice

Which graph is the inverse of the function f(x) = 3x+1?

Multiple Choice

Which graph could represent both a function (blue) and its inverse (red) graphed on the

same coordinate grid?

Multiple Choice

Graph the relation with closed circles and its inverse with open circles.

Then select the graph that depicts that layout.

Multiple Choice

Is g(x) an Inverse Function of f(x)?

Inverse Functions

Not Inverse Functions

Multiple Choice

Is g(x) an Inverse Function of f(x)?

Inverse Functions

Not Inverse Functions

Multiple Choice

Is g(x) an Inverse Function of f(x)?

Inverse Functions

Not Inverse Functions

Multiple Choice

Is g(x) an Inverse Function of f(x)?

Inverse Functions

Not Inverse Functions

Multiple Choice

What does an inverse function do?

Nothing

Makes it bigger

Does the opposite of the original function

Multiple Choice

What is the inverse of this function?

Inverse Relations & Functions Review

Dr. Tom Giles

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