\[ f(3) = 3(3)^2 - 2(3) + 1 = 3 \times 9 - 6 + 1 = 27 - 6 + 1 = 22. \]

["Understanding the Calculation: f(3) = 3(3)² − 2(3) + 1 = 22", "Are you ready to break down one of the simplest yet powerful algebraic expressions? Let’s explore the step-by-step evaluation of the function:", "[ f(3) = 3(3)^2 - 2(3) + 1 = 22 ]", "---", "### Step 1: Apply the Exponent\nThe first step involves evaluating the exponential term ( (3)^2 ).\n[ (3)^2 = 9 ]\nNow substitute back:\n[ f(3) = 3(9) - 2(3) + 1 ]", "---", "### Step 2: Perform Multiplication\nNext, carry out the multiplication for each term:\n[ 3 \ imes 9 = 27 ]\n[ 2 \ imes 3 = 6 ]\nSo the expression simplifies to:\n[ f(3) = 27 - 6 + 1 ]", "---", "### Step 3: Apply Addition and Subtraction\nNow work from left to right:\n[ 27 - 6 = 21 ]\n[ 21 + 1 = 22 ]", "---", "### Final Result:\n[ f(3) = 22 ]", "---", "### Why This Matters", "Understanding function evaluation like this helps build foundational algebra skills essential for higher math, computer programming, and problem-solving in sciences. By breaking down each operation—exponentiation, multiplication, and arithmetic—you gain clarity and confidence in working with expressions.", "Try this pattern with other inputs—like f(2) or f(4)—to reinforce your skills!", "---", "Keywords: evaluate f(3), algebra example, function calculation, step-by-step math, exponential expression, solve f(x), quadratic functions, math tutorial, f(3) = 22, algebra problems, function evaluation guide."]