Math / Algebra

QuestionModule Checkpoint
Cearning Goal from Lesson 6 - I can determine if a relation is a function. I can represent a function using a graph and table.
Lesson Reflection (circle one)
Determine whether each table represents a function. Select Function or Not a Function for each. (1 point)
18. Table \begin{tabular}{|c|c|c|c|c|} \hline $x$ & -2 & -2 & 4 & 10 \\ \hline $y$ & 5 & 7 & 9 & -11 \\ \hline \end{tabular} Function Not a Function \begin{tabular}{|c|c|c|c|c|} \hline $x$ & 3 & 6 & 8 & 12 \\ \hline $y$ & -2 & -8 & 2 & -8 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|c|} \hline $x$ & 1 & 7 & 3 & 1 \\ \hline $y$ & -4 & -11 & 5 & 12 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|c|} \hline $x$ & 2 & -2 & 7 & 12 \\ \hline $y$ & 3 & 3 & 3 & 3 \\ \hline \end{tabular}
Which of the following could be a function? Select three that apply. ( $1 / 2$ point) 19. 69 lifelong Algebra 1A (2024) Module 2

Studdy Solution

STEP 1

What is this asking? We need to figure out which tables represent functions and which ones don't, and then pick three examples that could be functions. Watch out! Remember, in a function, each input ( $x$ ) can only have one output ( $y$ ).
If an $x$ value has multiple different $y$ values, it's not a function!

STEP 2

1. Analyze the first table.
2. Analyze the second table.
3. Analyze the third table.
4. Analyze the fourth table.
5. Identify three possible functions.

STEP 3

Let's look at the first table.
Notice that the $x$ value $-2$ appears twice, but with different $y$ values ( $5$ and $7$ ).
This means it's not a function!
One input, two different outputs.
No way!

STEP 4

In the second table, each $x$ value is unique: $3$ , $6$ , $8$ , and $12$ .
Each has its own $y$ value.
This is a function!

STEP 5

Look at the third table.
The $x$ value $1$ appears twice, with different $y$ values ( $-4$ and $12$ ).
Just like the first table, this means it's not a function!

STEP 6

Now, the fourth table.
Here, all the $x$ values are different, and even though the $y$ value is always $3$ , that's perfectly fine!
Each input has exactly one output, so this is a function!

STEP 7

We've already identified two tables that are functions: the second and fourth tables.
We need one more example that could be a function.
The problem doesn't give us more tables, but it does give us the number 69.
A single number can be considered a constant function, where every input has the same output.
So, 69 could represent a function where $f(x) = 69$ for all $x$ .

STEP 8

Table 1: Not a Function Table 2: Function Table 3: Not a Function Table 4: Function Three possible functions: Table 2, Table 4, and 69.

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Studdy Solution

STEP 1

STEP 2

1. Analyze the first table.
2. Analyze the second table.
3. Analyze the third table.
4. Analyze the fourth table.
5. Identify three possible functions.

STEP 3

Let's look at the first table.
Notice that the $x$ value $-2$ appears twice, but with different $y$ values ( $5$ and $7$ ).
This means it's not a function!
One input, two different outputs.
No way!

STEP 4

In the second table, each $x$ value is unique: $3$ , $6$ , $8$ , and $12$ .
Each has its own $y$ value.
This is a function!

STEP 5

Look at the third table.
The $x$ value $1$ appears twice, with different $y$ values ( $-4$ and $12$ ).
Just like the first table, this means it's not a function!

STEP 6

Now, the fourth table.
Here, all the $x$ values are different, and even though the $y$ value is always $3$ , that's perfectly fine!
Each input has exactly one output, so this is a function!

STEP 7

STEP 8

Table 1: Not a Function Table 2: Function Table 3: Not a Function Table 4: Function Three possible functions: Table 2, Table 4, and 69.

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Studdy Solution

STEP 1

STEP 2

1. Analyze the first table.2. Analyze the second table.3. Analyze the third table.4. Analyze the fourth table.5. Identify three possible functions.

STEP 3

Let's look at the first table.Notice that the xxx value −2-2−2 appears twice, but with different yyy values (555 and 777).This means it's **not a function**!One input, two different outputs.No way!

STEP 4

In the second table, each xxx value is unique: 333, 666, 888, and 121212.Each has its own yyy value.This is a **function**!

STEP 5

Look at the third table.The xxx value 111 appears twice, with different yyy values (−4-4−4 and 121212).Just like the first table, this means it's **not a function**!

STEP 6

Now, the fourth table.Here, all the xxx values are different, and even though the yyy value is always 333, that's perfectly fine!Each input has exactly one output, so this is a **function**!

STEP 7

STEP 8

Table 1: **Not a Function** Table 2: **Function** Table 3: **Not a Function** Table 4: **Function** Three possible functions: Table 2, Table 4, and 69.

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1. Analyze the first table.
2. Analyze the second table.
3. Analyze the third table.
4. Analyze the fourth table.
5. Identify three possible functions.

Let's look at the first table.
Notice that the $x$ value $-2$ appears twice, but with different $y$ values ( $5$ and $7$ ).
This means it's not a function!
One input, two different outputs.
No way!

In the second table, each $x$ value is unique: $3$ , $6$ , $8$ , and $12$ .
Each has its own $y$ value.
This is a function!

Look at the third table.
The $x$ value $1$ appears twice, with different $y$ values ( $-4$ and $12$ ).
Just like the first table, this means it's not a function!

Now, the fourth table.
Here, all the $x$ values are different, and even though the $y$ value is always $3$ , that's perfectly fine!
Each input has exactly one output, so this is a function!

Table 1: Not a Function Table 2: Function Table 3: Not a Function Table 4: Function Three possible functions: Table 2, Table 4, and 69.