Question

Select the correct answer.Consider function f.What is the domain of the linear piece?A. [4, infinity)B. (4, infinity)C. [0, infinity)D. (0, infinity)

Answer 1

The graph is that of a piecewise function having "3" parts.

From left to right:

• Part of an upside down parabota

,

• Small part of a parabola

,

• Linear function

We need to find the domain of the linear part (3rd part of the graph) only.

The domain is the set of x-values for which a function is defined for.

We need the domain in interval notation. If the domain of a function is from x = a to x = b, we can write the domain as:

• (a,b) >> given the endpoints 'a' and 'b' aren't included

,

• [a,b] >> given the endpoints 'a' and 'b' are included

The linear function:

• goes from x = 0 towards infinity

,

• has an open circle at x = 0, so the endpoint x = 0 is not included

Thus, the domain is:

`(4,\infty)`

The correct answer is B