If \( f(x) = 3x + 4 \), what is \( f(2) \)?

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Multiple Choice

If \( f(x) = 3x + 4 \), what is \( f(2) \)?

Explanation:
To find \( f(2) \) for the function \( f(x) = 3x + 4 \), you need to substitute \( 2 \) for \( x \) in the function. Start with the function: \[ f(x) = 3x + 4 \] Now, substitute \( x \) with \( 2 \): \[ f(2) = 3(2) + 4 \] Calculate \( 3(2) \): \[ 3(2) = 6 \] Now, add \( 4 \): \[ f(2) = 6 + 4 = 10 \] Thus, the correct evaluation gives \( f(2) = 10 \), which corresponds to the first option. The value of \( f(2) \) confirms that the function applies linear transformation correctly, where inputs are multiplied and shifted uniformly. The answer chosen does not reflect the computed result and indicates understanding the calculation was not accurately weighted towards the evaluation of the direct function application.

To find ( f(2) ) for the function ( f(x) = 3x + 4 ), you need to substitute ( 2 ) for ( x ) in the function.

Start with the function:

[

f(x) = 3x + 4

]

Now, substitute ( x ) with ( 2 ):

[

f(2) = 3(2) + 4

]

Calculate ( 3(2) ):

[

3(2) = 6

]

Now, add ( 4 ):

[

f(2) = 6 + 4 = 10

]

Thus, the correct evaluation gives ( f(2) = 10 ), which corresponds to the first option. The value of ( f(2) ) confirms that the function applies linear transformation correctly, where inputs are multiplied and shifted uniformly. The answer chosen does not reflect the computed result and indicates understanding the calculation was not accurately weighted towards the evaluation of the direct function application.

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