Questions: The function f is defined by f(x)=5x^2. What is the value of f(11)? (A) 55 (B) 65 (C) 110 (D) 605

Transcript text: The function $f$ is defined by $f(x)=5 x^{2}$. What is the value of $f(11)$ ? (A) 55 (B) 65 (C) 110 (D) 605

Solution

To find the value of the function $ f(x) = 5x^2 $ at $ x = 11 $, substitute 11 into the function and compute the result.

Step 1: Define the Function

The function is defined as $ f(x) = 5x^2 $.

Step 2: Substitute the Value

To find $ f(11) $, substitute $ x = 11 $ into the function: \[ f(11) = 5 \cdot (11)^2 \]

Step 3: Calculate the Result

Calculate $ (11)^2 $: \[ (11)^2 = 121 \] Now, multiply by 5: \[ f(11) = 5 \cdot 121 = 605 \]

The value of $ f(11) $ is $ \boxed{605} $.

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