Questions: Determine the domain and the range of the function shown below.
Select the correct choice below and fill in the answer box to complete your choice
A. The domain is an interval. The domain of the function is 1.
(Type your answer in interval notation.)
B. The domain is a list of values. The domain of the function is
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
Transcript text: Determine the domain and the range of the function shown below.
Select the correct choice below and fill in the answer box to complete your choice
A. The domain is an interval. The domain of the function is $\square$ 1.
(Type your answer in interval notation.)
B. The domain is a list of values. The domain of the function is $\square$
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
Solution
Solution Steps
Step 1: Analyze the graph
The graph shows a horizontal line at y = -4. This means the function outputs -4 for any input x. The arrows on the line indicate it extends infinitely in both directions along the x-axis.
Step 2: Determine the domain
The domain represents all possible x-values. Since the line extends infinitely left and right, the domain is all real numbers.
Step 3: Determine the range
The range represents all possible y-values. The only output value for this function is -4.
Final Answer
A. The domain is an interval. The domain of the function is $(-∞, ∞)$. The range is $\{-4\}$.