Questions: Use the graph in the function to find the domain and range of f. (Enter your answer using interval notation.) Domain ( ) (-∞, -1) ( ) [-2, 1) ( ) (-∞, ∞) ( ) [-1, 1) Range ( ) [-1, 1) ( ) (-∞, ∞) ( ) [0, ∞) ( ) (-∞, -1) x -4 -2 2 4 6 8 y -2 -4 4 2

Use the graph in the function to find the domain and range of f. (Enter your answer using interval notation.)

Domain
( ) (-∞, -1)
( ) [-2, 1)
( ) (-∞, ∞)
( ) [-1, 1)

Range
( ) [-1, 1)
( ) (-∞, ∞)
( ) [0, ∞)
( ) (-∞, -1)

x
-4 -2 2 4 6 8
y
-2
-4
4
2

Transcript text: Use the graph in the function to find the domain and range of f. (Enter your answer using interval notation.) Domain ( ) (-∞, -1) ( ) [-2, 1) ( ) (-∞, ∞) ( ) [-1, 1) Range ( ) [-1, 1) ( ) (-∞, ∞) ( ) [0, ∞) ( ) (-∞, -1) x -4 -2 2 4 6 8 y -2 -4 4 2

Solution

Solution Steps

Step 1: Find the domain

The domain is the set of all possible x-values. The graph starts at x = 1 and continues to the right infinitely. Thus, the domain is \([1, \infty)\).

Step 2: Find the range

The range is the set of all possible y-values. The lowest y-value is -1, and the graph continues upwards infinitely. Thus, the range is \([-1, \infty)\).

Step 3: Find f(-1)

Locate x = -1 on the graph. Observe that the graph of the function passes through the point (-1, -3). The y-value of this point is -3. Thus, \(f(-1) = -3\).