Question

A function is described by f(x) - 2x -3. The replacement set for the independent variable is

{-1, -2, 1,5). Which of the following would belong to the corresponding set of values of the
dependent set?

Answer 1

The corresponding set of values of the dependent set is: {-5, -7, 0}

Explanation:

Dependent variable and independent variable:

Suppose we have a function f(x).

The independent variable is the input value of the function, that is, x.

The dependent variable is the output value of the function, that is, f(x).

The replacement set for the independent variable is (-1, -2, 1,5).

The values of the dependent set are respectively, f(-1), f(-2) and f(1.5). So

We have that:
`f(x) = 2x - 3`. So

`f(-1) = 2(-1) - 3 = -2 -3 = -5`

`f(-2) = 2(-2) - 3 = -4 -3 = -7`

`f(1.5) = 2(1.5) - 3 = 3 -3 = 0`

The corresponding set of values of the dependent set is: {-5, -7, 0}