Consider the function y = 3x - 1. What is the range when the domain is -3? A) Range is y B) Range is y C) Range is y D) Range is y = -10

Question

Consider the function y = 3x - 1. What is the range when the domain is -3?

A) Range is y ∈ ℝ
B) Range is y > -10
C) Range is y ≠ -10
D) Range is y

Answer 1

When the domain is -3 for the function y = 3x - 1, the range is the single value -10, which is corresponding to option D) Range is y .

Step-by-step explanation:

Considering the function y = 3x - 1, the range of a function is defined as the set of possible output values, which depend on the input values that make up the domain. To find the range when the domain is -3, we substitute x with -3 into the function as follows:

y = 3(-3) - 1

y = -9 - 1

y = -10

Therefore, for this specific input, the range is simply the single value -10. This corresponds to option D) Range is y .