Question

evaluate the function below for x = 3. f(x) = x³ + 5x² + 1 options: 40, 58, 55, 73 question 2 1 pts if f(x) = 2x³ - 4x² + 6x - 7, find f(4). options: 95, 81, 9, 73

Explanation:

Step1: Substitute \(x = 4\) into \(f(x)=2x^{3}-4x^{2}+6x - 7\)

\(f(4)=2\times4^{3}-4\times4^{2}+6\times4 - 7\)

Step2: Calculate each term

• For \(2\times4^{3}\): \(4^{3}=4\times4\times4 = 64\), then \(2\times64 = 128\)
• For \(4\times4^{2}\): \(4^{2}=4\times4 = 16\), then \(4\times16 = 64\)
• For \(6\times4=24\)

Step3: Substitute back into the expression

\(f(4)=128-64 + 24-7\)
\(f(4)=64+24 - 7\)
\(f(4)=88 - 7\)
\(f(4)=81\)

Step1: Substitute \(x = 3\) into \(f(x)=x^{3}+5x^{2}+1\)

\(f(3)=3^{3}+5\times3^{2}+1\)

Step2: Calculate each term

• For \(3^{3}=3\times3\times3 = 27\)
• For \(5\times3^{2}\): \(3^{2}=3\times3 = 9\), then \(5\times9 = 45\)

Step3: Substitute back into the expression

\(f(3)=27+45 + 1\)
\(f(3)=72+1\)
\(f(3)=73\)

Answer:

\(81\)

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