Final answer:
To find f(2) for f(x) = x² + 3x - 2, plug in x=2, yielding 2² + 3(2) - 2, which simplifies to 8. The decimal approximation of f(2) is 8.0.
Step-by-step explanation:
To find f(2) for the function f(x) = x² + 3x - 2, we simply substitute x with 2 into the equation and compute the result:
f(2) = (2)² + 3(2) - 2
Calculating each term:
- (2)² = 4
- 3(2) = 6
- -2 is already simplified.
Now, add them together:
f(2) = 4 + 6 - 2
f(2) = 10 - 2
f(2) = 8
The decimal approximation for f(2) is 8.0.