Math / Algebra

QuestionDirections: Given each function and
7. $y=x-5 ;$ domain $=\{4,6,8\}$

Studdy Solution

STEP 1

What is this asking? We need to find the output values ( $y$ ) of a simple equation for a few given input values ( $x$ ). Watch out! Don't mix up the $x$ and $y$ values!
Make sure you're plugging the domain values in for $x$ .

STEP 2

1. Substitute and Solve

STEP 3

Alright, let's kick things off with our first $x$ value, which is 4!
We're going to plug it into our super cool equation: $y = x - 5$ .

STEP 4

Substituting $x = 4$ , we get $y = 4 - 5$ .
That's a simple subtraction problem! $4 - 5 = -1$ .
So, when $x$ is 4, $y$ is -1.
Boom!

STEP 5

Next up, $x = 6$ !
Let's do this!
Plugging it into our equation: $y = 6 - 5$ .

STEP 6

$6 - 5 = 1$ .
So, when $x$ is 6, $y$ is 1.
Fantastic!

STEP 7

Last one! $x = 8$ .
Let's finish strong!
Substituting into our equation: $y = 8 - 5$ .

STEP 8

$8 - 5 = 3$ .
So, when $x$ is 8, $y$ is 3.
We nailed it!

STEP 9

For the given domain $\{4, 6, 8\}$ , the corresponding $y$ values are $\{-1, 1, 3\}$ .

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QuestionDirections: Given each function and
7. $y=x-5 ;$ domain $=\{4,6,8\}$

Studdy Solution

STEP 1

What is this asking? We need to find the output values ( $y$ ) of a simple equation for a few given input values ( $x$ ). Watch out! Don't mix up the $x$ and $y$ values!
Make sure you're plugging the domain values in for $x$ .

STEP 2

1. Substitute and Solve

STEP 3

Alright, let's kick things off with our first $x$ value, which is 4!
We're going to plug it into our super cool equation: $y = x - 5$ .

STEP 4

Substituting $x = 4$ , we get $y = 4 - 5$ .
That's a simple subtraction problem! $4 - 5 = -1$ .
So, when $x$ is 4, $y$ is -1.
Boom!

STEP 5

Next up, $x = 6$ !
Let's do this!
Plugging it into our equation: $y = 6 - 5$ .

STEP 6

$6 - 5 = 1$ .
So, when $x$ is 6, $y$ is 1.
Fantastic!

STEP 7

Last one! $x = 8$ .
Let's finish strong!
Substituting into our equation: $y = 8 - 5$ .

STEP 8

$8 - 5 = 3$ .
So, when $x$ is 8, $y$ is 3.
We nailed it!

STEP 9

For the given domain $\{4, 6, 8\}$ , the corresponding $y$ values are $\{-1, 1, 3\}$ .

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QuestionDirections: Given each function and7. y=x−5;y=x-5 ;y=x−5; domain ={4,6,8}=\{4,6,8\}={4,6,8}

Studdy Solution

STEP 1

What is this asking? We need to find the output values (yyy) of a simple equation for a few given input values (xxx). Watch out! Don't mix up the xxx and yyy values!Make sure you're plugging the *domain* values in for xxx.

STEP 2

1. Substitute and Solve

STEP 3

Alright, let's **kick things off** with our first xxx value, which is **4**!We're going to plug it into our super cool equation: y=x−5y = x - 5y=x−5.

STEP 4

Substituting x=4x = 4x=4, we get y=4−5y = 4 - 5y=4−5.That's a simple subtraction problem! 4−5=−14 - 5 = -14−5=−1.So, when xxx is **4**, yyy is **-1**.Boom!

STEP 5

Next up, x=6x = 6x=6!Let's **do this**!Plugging it into our equation: y=6−5y = 6 - 5y=6−5.

STEP 6

6−5=16 - 5 = 16−5=1.So, when xxx is **6**, yyy is **1**.Fantastic!

STEP 7

Last one! x=8x = 8x=8.Let's **finish strong**!Substituting into our equation: y=8−5y = 8 - 5y=8−5.

STEP 8

8−5=38 - 5 = 38−5=3.So, when xxx is **8**, yyy is **3**.We **nailed it**!

STEP 9

For the given domain {4,6,8}\{4, 6, 8\}{4,6,8}, the corresponding yyy values are {−1,1,3}\{-1, 1, 3\}{−1,1,3}.

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Studdy solves anything!

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionDirections: Given each function and
7. $y=x-5 ;$ domain $=\{4,6,8\}$

What is this asking? We need to find the output values ( $y$ ) of a simple equation for a few given input values ( $x$ ). Watch out! Don't mix up the $x$ and $y$ values!
Make sure you're plugging the domain values in for $x$ .

Alright, let's kick things off with our first $x$ value, which is 4!
We're going to plug it into our super cool equation: $y = x - 5$ .

Substituting $x = 4$ , we get $y = 4 - 5$ .
That's a simple subtraction problem! $4 - 5 = -1$ .
So, when $x$ is 4, $y$ is -1.
Boom!

Next up, $x = 6$ !
Let's do this!
Plugging it into our equation: $y = 6 - 5$ .

$6 - 5 = 1$ .
So, when $x$ is 6, $y$ is 1.
Fantastic!

Last one! $x = 8$ .
Let's finish strong!
Substituting into our equation: $y = 8 - 5$ .

$8 - 5 = 3$ .
So, when $x$ is 8, $y$ is 3.
We nailed it!

For the given domain $\{4, 6, 8\}$ , the corresponding $y$ values are $\{-1, 1, 3\}$ .