B) Evaluate each function. 1) $$ f(x)=(3 x-14)^{2} $$; find $$ f(11) $$ 2) $$ f(x)=-x^{2} $$; find $$ f(-5) $$

Question

UpStudy AI · Accepted Answer

Certainly! Let's evaluate each function step by step.

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### 1) $$ f(x) = (3x - 14)^2 $$; Find $$ f(11) $$

**Step 1:** Substitute $$ x = 11 $$ into the function.

$$
f(11) = (3 \times 11 - 14)^2
$$

**Step 2:** Perform the multiplication inside the parentheses.

$$
3 \times 11 = 33
$$

So,

$$
f(11) = (33 - 14)^2
$$

**Step 3:** Subtract inside the parentheses.

$$
33 - 14 = 19
$$

$$
f(11) = 19^2
$$

**Step 4:** Square the result.

$$
19^2 = 361
$$

**Final Answer:**

$$
f(11) = 361
$$

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### 2) $$ f(x) = -x^2 $$; Find $$ f(-5) $$

**Step 1:** Substitute $$ x = -5 $$ into the function.

$$
f(-5) = -(-5)^2
$$

**Step 2:** Square the value inside the function.

$$
(-5)^2 = 25
$$

**Step 3:** Apply the negative sign.

$$
f(-5) = -25
$$

**Final Answer:**

$$
f(-5) = -25
$$

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**Summary:**
1. $$ f(11) = 361 $$
2. $$ f(-5) = -25 $$
$$ f(11) = 361 $$ and $$ f(-5) = -25 $$.

B) Evaluate each function. 1) \( f(x)=(3 x-14)^{2} \); find \( f(11) \) 2) \( f(x)=-x^{2} \); find \( f(-5) \)