What is the result of \(f(2)\) if \(f(x) = x^2 + 2x + 1\)?

What is the result of \(f(2)\) if \(f(x) = x^2 + 2x + 1\)?

• A. 6
• B. 7
• C. 9
• D. 10

Answer: (C)

To find the value of \(f(2)\) for the function \(f(x) = x^2 + 2x + 1\), we will substitute \(2\) for \(x\) in the function: 1. Start with the function: \[ f(x) = x^2 + 2x + 1 \] 2. Substitute \(x\) with \(2\): \[ f(2) = (2)^2 + 2(2) + 1 \] 3. Perform the calculations step-by-step: - First, calculate \((2)^2\): \[ (2)^2 = 4 \] - Next, calculate \(2(2)\): \[ 2(2) = 4 \] 4. Now, combine these results with the constant \(1\): \[ f(2) = 4 + 4 + 1 \] 5. Add the numbers together: \[ 4 + 4 = 8 \] \[ 8 + 1 = 9

To find the value of (f(2)) for the function (f(x) = x^2 + 2x + 1), we will substitute (2) for (x) in the function:

1. Start with the function:

[

f(x) = x^2 + 2x + 1

]

2. Substitute (x) with (2):

[

f(2) = (2)^2 + 2(2) + 1

]

3. Perform the calculations step-by-step:

• First, calculate ((2)^2):

[

(2)^2 = 4

]

• Next, calculate (2(2)):

[

2(2) = 4

]

4. Now, combine these results with the constant (1):

[

f(2) = 4 + 4 + 1

]

5. Add the numbers together:

[

4 + 4 = 8

]

[

8 + 1 = 9