Question

In the function y= [x] -1, which values of the function are equivalent?

A) f(–1) and f(–2)

B) f(1) and f(0)

C) f(–3) and f(–2.1)

D) f(2) and f(1.9)

ANSWER is C.

Answer 1

c

Explanation:

edge 2021

Answer 2

Option C) f(–3) and f(–2.1)

Explanation:

We are given the following information in the question:

`f(x) = y = [x] - 1`

where [x] is the greatest integer function.

A) f(–1) and f(–2)

`f(-1) = [-1] - 1 = -1-1 = -2\\f(-2) = [-2] - 1 = -2-1 = -3`

The two functions are not equivalent.

B) f(1) and f(0)

`f(1) = [1] - 1 = 1-1 = 0\\f(0) = [0] - 1 = 0-1 = -1`

The two functions are not equivalent.

C) f(–3) and f(–2.1)

`f(-3) = [-3] - 1 = -3-1 = -4\\f(-2.1) = [-2.1] - 1 = -3-1 = -4`

The two functions are equivalent.

D) f(2) and f(1.9)

`f(2) = [2] - 1 = 2-1 = 1\\f(1.9) = [1.9] - 1 = 1-1 = 0`

The two functions are not equivalent.