Short Answer
The graph has a y-intercept of -5 and an x-intercept of 5, indicating it is a straight line with a positive slope. Both the domain and range of the function are all real numbers, represented as x = R and y = R, respectively.
Step 1: Identify the Graph Characteristics
Analyze the graph which shows a curve with specific intercepts. The y-intercept is at -5, and the x-intercept is at 5. This helps to outline the basic properties of the graph that will define its behavior.
- Y-intercept: -5
- X-intercept: 5
- Graph Type: Straight line with a positive slope
Step 2: Determine the Domain of the Function
The domain refers to all possible values of x for which the function is defined. Since the graph is continuous without breaks, it indicates that x can take any real number. Thus, the domain can be expressed as all real numbers.
- Domain: x = R
- Values of x: From -‚à û to +‚à û
Step 3: Determine the Range of the Function
The range represents all possible values of y associated with the function. As with the domain, the graph demonstrates continuity, allowing y to also take any value within the real number spectrum. Therefore, the range can similarly be established as all real numbers.
- Range: y = R
- Values of y: From -‚à û to +‚à û