Answer:
f(x) = - 2x - 1
Step-by-step explanation:
Let the linear function f(x) is given by f(x) = ax + b where a and b are unknown constants.
Given that f(0) = -1 and f(2) = -5
Hence, a(0) + b = - 1, ⇒ b = - 1
Again from the condition given
a(2) + b = -5, ⇒ 2a - 1 = - 5, ⇒ 2a = - 4, ⇒ a = - 2.
Therefore, the linear function is f(x) = - 2x - 1 (Answer)
