Question

Which of the following are functions from Z to Z? (Select all that apply.)

A. f(x) = 2x
B. f(x) = x^2
C. f(x) = 1/x
D. f(x) = sqrt(x)

Answer 1

The functions from Z to Z (integers to integers) are A. f(x) = 2x and B. f(x) = x^2.

Step-by-step explanation:

The functions that are from Z to Z (integers to integers) are A and B.

In function A, f(x) = 2x, we can see that for any integer value of x, the output will also be an integer (the result of multiplying an integer by 2).

In function B, f(x) = x^2, x could be any integer, and when we square an integer, we get another integer.