Question

H(x)= x−10 Determine for each x-value whether it is in the domain of h or not. In domain, Not in domain.

a. 0 In domain, 5 In domain, 10 Not in domain
b. 0 Not in domain, 5 In domain, 10 In domain
c. 0 In domain, 5 Not in domain, 10 In domain
d. Not Mentioned

Answer 1

The domain of the function h(x) = x - 10 includes all real numbers, therefore x-values such as 0, 5, and 10 are all within the domain.

Step-by-step explanation:

The domain of a function is a set of all possible input values (x-values) that the function can accept without leading to any undefined behaviors. For the function h(x) = x - 10, there are no restrictions on the x-values because it's a simple linear function with no denominators or square roots that could impose any limitations. Therefore, any real number can be an input, making the domain of h(x) all real numbers.

As a result, when evaluating if specific x-values are within the domain, we find that:

• 0 - In domain
• 5 - In domain
• 10 - In domain

This is because all these x-values are real numbers and do not cause any undefined behavior when plugged into the function h(x).