Question

2. Find the range of each of the following
(i) f(x) = 3x - 4, for -1 <x<3​

Answer 1

Step-by-step explanation:

(i) f(x) = 3x - 4, for -1 <x<3

y(-1) = 3(-1) - 4 = -7

y(3) = 3(3)-4 = 5

So range = [-7,5]

Answer 2

Step-by-step explanation:

-1<x<3

-3<3x<9

-3-4<3x-4<9-4

-7<3x-4<5

-7<f(x)<5