Question

The graph shows two functions, f(x) and g(x).

If the functions are combined using addition, which
statements describe the resulting graph h(x)? Check
two options
O domain: x 2 -2
O domain: x 22
O The point (2, 2) is on h(x).
O The point (-2, 0) is on h(x).
O The point (0, -3) is on h(x).

Answer 1

The resulting graph h(x) when the functions f(x) and g(x) are combined using addition will have a domain of x ≥ 2 and x ≤ 22. The point (-2, 0) is on h(x).

Step-by-step explanation:

The resulting graph h(x) when the functions f(x) and g(x) are combined using addition will have the domain x ≥ 2 and x ≤ 22. This means that the x-values of h(x) will range from 2 to 22, including both endpoints.

Therefore, the statements that describe the resulting graph h(x) are:

1. The domain of h(x) is x ≥ 2 and x ≤ 22.
2. The point (-2, 0) is on h(x). (Since (-2, 0) lies within the domain of h(x))