Question

What is the domain and range of the function y= Ix-4I?

a. Domain: x ∈ R , Range y ∈ R | y ≥0
b. Domain: x ∈ R , Range y ∈ R | y >41]
c. Domain: x ∈ R , Range y ∈ R | y ≤41
d. Domain: x ∈ R , Range y ∈ R | y <41

Answer 1

The domain of the function is all real numbers and the range is all real numbers greater than or equal to 0. the correct answer is: a) Domain: x ∈ R , Range: y ∈ R | y ≥ 0

Step-by-step explanation:

The function y = Ix - 4I can be rewritten as y = |x - 4|. This function represents the absolute value of the difference between x and 4.

The domain of this function is all real numbers, since there are no restrictions on the possible values of x.

The range of this function is all real numbers greater than or equal to 0, since the absolute value of any number is always non-negative. Therefore, the correct answer is:
Domain: x ∈ R , Range: y ∈ R | y ≥ 0