Question

Determine whether the function is one-to-one. f(x) = 3x − 4

Answer 1

To determine whether a function is one-to-one, we need to check if each element in the domain is mapped to a unique element in the range. For the function f(x) = 3x - 4, it is indeed one-to-one.

Step-by-step explanation:

To determine whether a function is one-to-one, we need to check if each element in the domain is mapped to a unique element in the range. In other words, if two different inputs produce the same output, the function is not one-to-one.

For the function f(x) = 3x - 4, let's assume that f(x1) = f(x2). We have:

3x1 - 4 = 3x2 - 4

3x1 = 3x2

x1 = x2

Since x1 and x2 are equal, we can conclude that the function f(x) = 3x - 4 is one-to-one.