Question

Write a linear function f with the values f(0)=-1 and f(2)=-5​

Answer 1

f(x) = - 2x - 1

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)