Question

graphing polynomial functions: practice
what is the domain of the function shown on the graph?
\\(0, 4\\)
\\((-\infty, \infty)\\)
\\(0, 3\\)
\\((-2, 4)\\)

Explanation:

Identify the type of function from the graph

The graph shows a continuous polynomial function with arrows on both ends, extending infinitely.

Determine the domain of the function

The graph extends infinitely to the left (\(x \to -\infty\)) and infinitely to the right (\(x \to \infty\)) without any breaks, holes, or vertical asymptotes.

$$ \text{Domain} = (-\infty, \infty) $$

Answer:

• (A) \([0, 4]\)
• (B) \((-\infty, \infty)\) (Correct answer)
• (C) \([0, 3]\)
• (D) \((-2, 4)\)