Question

Consider the following graph.Step 1 of 2: Does the graph represent a function?Step 2 of 2: Determine the domain and range of the graph.

Answer 1

1) Yes

2) D: (-∞, ∞); R: [-1, ∞)

Step-by-step explanation

1) We want to identify if the given graph represents a function.

A graph represents a function if a vertical line can be drawn such that it does not intersect the graph at any two points. In other words, a graph represents a function if no two y coordinates on the graph correspond to only one x coordinate.

Therefore, following the definition above, the graph represents a function.

The answer is Yes.

2) The domain of a graph is the set of all x values of the graph. In other words, it is the set of all input values of the graph.

The range of a graph is the set of all y values of the graph. In other words, it is the set of all output values of the graph.

Hence, the domain of the graph is:

`(-\infty,\infty)`

Hence, the range of the graph is:

`\lbrack-1,\infty)`