Learning Target \#4 10) (Level 1) Consider the function: $$ f(x)=-x^{2}+1 $$ Find $$ f(2) \quad $$ Find $$ f(4) $$

Question

UpStudy AI · Accepted Answer

Sure, let's evaluate the function $$ f(x) = -x^{2} + 1 $$ for the given values of $$ x $$.

### 1. Find $$ f(2) $$

**Step 1:** Substitute $$ x = 2 $$ into the function.
$$
f(2) = - (2)^{2} + 1
$$

**Step 2:** Calculate $$ (2)^{2} $$.
$$
(2)^{2} = 4
$$

**Step 3:** Substitute back into the equation.
$$
f(2) = -4 + 1
$$

**Step 4:** Perform the addition.
$$
f(2) = -3
$$

**Answer:** $$ f(2) = -3 $$

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### 2. Find $$ f(4) $$

**Step 1:** Substitute $$ x = 4 $$ into the function.
$$
f(4) = - (4)^{2} + 1
$$

**Step 2:** Calculate $$ (4)^{2} \.
$$
(4)^{2} = 16
$$

**Step 3:** Substitute back into the equation.
$$
f(4) = -16 + 1
$$

**Step 4:** Perform the addition.
$$
f(4) = -15
$$

**Answer:** $$ f(4) = -15 $$

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### Summary

- $$ f(2) = -3 $$
- $$ f(4) = -15 $$

If you have any more questions or need further clarification, feel free to ask!
$$ f(2) = -3 $$ and $$ f(4) = -15 $$.

Learning Target \#4 10) (Level 1) Consider the function: \( f(x)=-x^{2}+1 \) Find \( f(2) \quad \) Find \( f(4) \)