Step 1: Substitute \( x = 3 \) into the function
We are given the function \( f(x) = 2x^2 - 3x + 5 \), and we need to evaluate \( f(3) \).
Substitute \( x = 3 \) into the function: \[ f(3) = 2(3)^2 - 3(3) + 5 \]
Step 2: Simplify the expression
\[ f(3) = 2(9) - 9 + 5 = 18 - 9 + 5 = 18 \]
Answer:
Therefore, \( f(3) = 18 \). So, the correct answer is option (2).
\[ f(x) = \left\{ \begin{array}{ll} 1 - 2x & \text{if } x < -1 \\ \frac{1}{3}(7 + 2|x|) & \text{if } -1 \leq x \leq 2 \\ \frac{11}{18} (x-4)(x-5) & \text{if } x > 2 \end{array} \right. \]
What is the empirical formula of a compound containing 40% sulfur and 60% oxygen by mass?