What is the range of the table?

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

What is the definition of function?

Every input has only ONE output

Inputs have different outputs every time

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

D: {1, -3, -4,} R: {0, 1, 2, -4}

D:{0, 1, 2, 3, 4} R:{1, -3, -4}

What is the definition of function composition?

Function composition is the operation of applying one function to the results of another, defined as (f∘g)(x) = f(g(x)).

Function composition is the process of adding two functions together to create a new function.

Function composition involves multiplying two functions to find their product.

Function composition is the method of finding the inverse of a function.

What is the definition of function subtraction?

Function subtraction is the operation of subtracting one function from another, defined as (f-g)(x) = f(x) - g(x).

Function subtraction is the operation of adding one function to another, defined as (f+g)(x) = f(x) + g(x).

Function subtraction is the operation of multiplying one function by another, defined as (f*g)(x) = f(x) * g(x).

Function subtraction is the operation of dividing one function by another, defined as (f/g)(x) = f(x) / g(x).

What does f(g(x)) represent?

The composition of functions, where g(x) is substituted into f(x).

The difference between f(x) and g(x).

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

the x's and y's are divided by 2

the x's and y's are made negative

What does an inverse function do?

Does the opposite of the original function

Select the option that shows the steps for this function in order: f ( x ) = x + 6 3 f\left(x\right)=\frac{\sqrt{x+6}}{3} f ( x ) = 3 x + 6 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

1. Add 6 to x 2. Take the square root of the quantity 3. Divide by 3

1. Add 6 to x 2. Square the quantity 3. Divide by 3

1. Take the square root of x 2. Add 6 3. Divide by 3

1. Square x 2. Add 6 3. Divide by 3

If f ( x ) = x + 6 3 f\left(x\right)=\frac{\sqrt{x+6}}{3} f ( x ) = 3 x + 6 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> , select the correct steps for the INVERSE function in the correct order

1. Multiply by 3 2. Square the quantity 3. Subtract 6

1. Multiply by 3 2. Take the square root of the quantity 3. Add 6

1. Square x 2. Subtract 6 3. Multiply by 3

1. Subtract 6 2. Square the quantity 3. Multiply by 3

If f(x) is a function with the following steps: 1. Add 3 2. Multiply by 5 How would we write the inverse function, f -1 (x)?

f − 1 ( x ) = x 5 − 3 f^{-1}\left(x\right)=\frac{x}{5}-3 f − 1 ( x ) = 5 x − 3

f − 1 ( x ) = x − 3 5 f^{-1}\left(x\right)=\frac{x-3}{5} f − 1 ( x ) = 5 x − 3

f − 1 ( x ) = 3 − x 5 f^{-1}\left(x\right)=3-\frac{x}{5} f − 1 ( x ) = 3 − 5 x

f − 1 ( x ) = 5 ( x + 3 ) f^{-1}\left(x\right)=5\left(x+3\right) f − 1 ( x ) = 5 ( x + 3 )

F4 Functions

Authored by Dmitrii Korshunov

Geography

1st Grade

Used 2+ times

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60 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Is this mapping a function or not a function?

Function

Not a Function

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Is the relation a function?
{(4,5), (4,-7), (4,2), (4,0), (4,9)}

Yes

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Is the relation a function?
{(4,5), (4,-7), (4,2), (4,0), (4,9)}

Yes

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Is this table a function or not a function?

Function

Not a Function

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Is the relation a function? Why.

Yes, because the x-value 11 has two y-values pair with it.

Yes, because each x-value has only one y-value paired with it.

No, because the x-value 11 has two y-values pair with it.

No, because each x-value has only one y-value paired with it.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Evaluate f(-2) if f(x) = x²+ 3.

-1

-7

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Is relation shown a function?

YES

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F4 Functions

Is this mapping a function or not a function?

Is the relation a function?
{(4,5), (4,-7), (4,2), (4,0), (4,9)}

Is the relation a function?
{(4,5), (4,-7), (4,2), (4,0), (4,9)}