Final answer:
To evaluate f(-1) for the function f(x) = 2x² + 5x - 17, substitute -1 for x, resulting in f(-1) = 2(-1)² + 5(-1) - 17, which simplifies to f(-1) = -20.
Step-by-step explanation:
To find and evaluate f(-1) for the given function f(x) = 2x² + 5x - 17, we substitute x with -1.
So, f(-1) = 2(-1)² + 5(-1) - 17
Calculating the squares and products, we get:
f(-1) = 2(1) - 5 - 17
=> f(-1) = 2 - 5 - 17
=> f(-1) = -20
Therefore, the value of f(-1) is -20.