Answer:
To determine the domain and range of the function y = |5x|, we need to consider the restrictions on the input values (x) and the resulting output values (y).
Domain:
The domain refers to the set of all possible input values (x) for the function. In this case, there are no restrictions on the input values. Therefore, the domain is all real numbers (-∞, +∞).
Range:
The range refers to the set of all possible output values (y) for the function. For the given function y = |5x|, the absolute value of any number is always non-negative. Additionally, multiplying by 5 does not change the fact that the output will always be non-negative. Therefore, the range of this function is all non-negative real numbers [0, +∞).
In summary:
Domain: All real numbers (-∞, +∞)
Range: All non-negative real numbers [0, +∞)
#Hope it helps :)
