Problem 8: For the function below, find f(−2), f(−0.5), and f(3).
f(x) = (3/8)x - 3
To find f(-2), f(-0.5), and f(3), we substitute the given values of x into the function f(x).
1. f(-2):
f(-2) = (3/8)(-2) - 3
f(-2) = (-6/8) - 3
f(-2) = -3/4 - 3
f(-2) = -15/4
2. f(-0.5):
f(-0.5) = (3/8)(-0.5) - 3
f(-0.5) = (-3/16) - 3
f(-0.5) = -3/16 - 3
f(-0.5) = -51/16
3. f(3):
f(3) = (3/8)(3) - 3
f(3) = 9/8 - 3
f(3) = 9/8 - 24/8
f(3) = -15/8
Therefore, f(-2) = -15/4, f(-0.5) = -51/16, and f(3) = -15/8.