Given the below, which function represents the values in the table ?
`{:(x,y),(1,-1),(3,5),(5,11),(7,17),(9,23):}`

Options

A. `y=2x-3`
B. `x=3y-4`
C. `x=2y-3`
D. `y=3x-4`

Explanation

To determine which function represents the values in the table, we will use the trial and error method with the provided options. The given points are:

\[ \{(1,-1), (3,5), (5,11), (7,17), (9,23)\} \]

Let's evaluate each function option one by one.

### Step 1: Evaluate Option A: \( y = 2x - 3 \)

1. For \( x = 1 \):
\[ y = 2(1) - 3 = 2 - 3 = -1 \quad \text{(Matches)} \]

2. For \( x = 3 \):
\[ y = 2(3) - 3 = 6 - 3 = 3 \quad \text{(Does not match, expected 5)} \]

Since the second value does not match, we can conclude that Option A is not the correct function.

### Step 2: Evaluate Option B: \( x = 3y - 4 \)

1. For \( x = 1 \):
\[ 1 = 3(-1) - 4 \implies 1 = -3 - 4 \implies 1 = -7 \quad \text{(Does not match)} \]

Since the first value does not match, we can conclude that Option B is not the correct function.

### Step 3: Evaluate Option C: \( x = 2y - 3 \)

1. For \( x = 1 \):
\[ 1 = 2(-1) - 3 \implies 1 = -2 - 3 \implies 1 = -5 \quad \text{(Does not match)} \]

Since the first value does not match, we can conclude that Option C is not the correct function.

### Step 4: Evaluate Option D: \( x = 3y - 4 \)

1. For \( x = 1 \):
\[ 1 = 3(-1) - 4 \implies 1 = -3 - 4 \implies 1 = -7 \quad \text{(Does not match)} \]

Since the first value does not match, we can conclude that Option D is not the correct function.

### Conclusion

None of the options provided seem to satisfy the values in the table. It may be necessary to either re-evaluate the functions given or check if there are additional options available.