How do you find the values of f(1) and f(2) using the function f(x) = 2x^3 + 3x^2 + 7?

To find the values of f(1) and f(2) using the function f(x) = 2x³ + 3x² + 7, we will substitute the values of x into the function.

First, let’s calculate f(1):

• Substituting x = 1 into the function:
• f(1) = 2(1)³ + 3(1)² + 7
• Calculating further:
• f(1) = 2(1) + 3(1) + 7
• f(1) = 2 + 3 + 7
• f(1) = 12

Now, let’s find f(2):

• Substituting x = 2 into the function:
• f(2) = 2(2)³ + 3(2)² + 7
• Calculating further:
• f(2) = 2(8) + 3(4) + 7
• f(2) = 16 + 12 + 7
• f(2) = 35

In summary:

• f(1) = 12
• f(2) = 35

This completes the calculations for f(1) and f(2) using the provided function.