Question

For 15-18, determine the domain for the following functions. Choose only one.

y = |x|
16. y = 1/x
17. y = 1\sqrtx
18. y = 2x + 1
A) all real numbers
B) all real numbers, except zero
C) all real numbers greater than zero
D) all real numbers equal to or greater than 0

Answer 1

The domain for each of the given functions is determined and explained.

Step-by-step explanation:

The domain of a function represents the set of all possible input values for the function. Let's determine the domain for each of the given functions:

1. For the function y = |x|, the domain is all real numbers because we can input any real number into the absolute value function.

2. For the function y = 1/x, the domain is all real numbers, except zero because we cannot divide by zero.

3. For the function y = 1/√x, the domain is all real numbers greater than zero because the square root function is defined only for non-negative real numbers.

4. For the function y = 2x + 1, the domain is all real numbers because there are no restrictions on the input value for a linear function.

Therefore, the answer is A) all real numbers.