Questions: For the graph of a function f, determine the domain and the range of f. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The domain is . (Use a comma to separate answers as needed.) B. The domain is x 6 ≤ x ≤ 9. (Type an inequality or a compound inequality.) C. The domain is x x is a real number.

For the graph of a function f, determine the domain and the range of f.

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The domain is .
(Use a comma to separate answers as needed.)
B. The domain is x 6 ≤ x ≤ 9.
(Type an inequality or a compound inequality.)
C. The domain is x x is a real number.

Transcript text: For the graph of a function f , determine the domain and the range of f . Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The domain is $\square$ \}. (Use a comma to separate answers as needed.) B. The domain is $\{x \mid 6 \leq x \leq 9\}$. (Type an inequality or a compound inequality.) C. The domain is $\{x \mid x$ is a real number $\}$.

Solution

Solution Steps

Step 1: Find the starting and ending x-values of the graph.

The graph starts at $x=6$ and ends at $x=14$.

Step 2: Determine the domain.

The domain consists of all possible x-values. Since the graph is continuous between $x=6$ and $x=14$, the domain is all x-values between 6 and 14 inclusive. This can be expressed as $6 \le x \le 14$.

Step 3: Find the lowest and highest y-values of the graph.

The lowest point on the graph has a y-value of -8. The highest point has a y-value of 8.

Step 4: Determine the range.

The range consists of all possible y-values. The graph is continuous between $y=-8$ and $y=8$, so the range is all y-values between -8 and 8 inclusive. This can be written as $-8 \le y \le 8$.