Which statement best describes the function shown in the graph – The graph in question presents a captivating visual representation of a function, inviting us to decipher its underlying behavior. By scrutinizing the graph’s intricate details, we embark on a journey to identify the statement that most accurately captures its essence.
To unravel the mysteries concealed within the graph, we will meticulously examine its key features, including the domain and range, intercepts, and slope. Armed with this knowledge, we will systematically evaluate each proposed statement, providing irrefutable evidence to support or refute its claims.
Graph Interpretation
The graph is a line graph that shows the relationship between the independent variable (x) and the dependent variable (y). The x-axis represents the input values, while the y-axis represents the output values. The overall shape of the graph is a straight line, indicating a linear relationship between the variables.
Statement Evaluation
- Statement:The graph shows a positive correlation between x and y. Evaluation:True. The line has a positive slope, indicating that as x increases, y also increases.
- Statement:The graph represents an exponential function. Evaluation:False. The line is straight, not curved, indicating that it is not an exponential function.
- Statement:The y-intercept of the graph is (0, 2). Evaluation:True. The line intersects the y-axis at (0, 2).
Functional Analysis, Which statement best describes the function shown in the graph
- Domain:The domain of the function is all real numbers.
- Range:The range of the function is all real numbers greater than or equal to 2.
- x-intercept:The x-intercept is (-2, 0).
- y-intercept:The y-intercept is (0, 2).
- Slope:The slope of the function is 1.
Examples and Applications
- The function can be used to model the relationship between the number of hours worked and the amount of money earned.
- The function can also be used to model the relationship between the temperature and the volume of a gas.
Data Organization
| x | y |
|---|---|
| -2 | 0 |
| 0 | 2 |
| 2 | 4 |
| 4 | 6 |
Q&A: Which Statement Best Describes The Function Shown In The Graph
What is the domain of the function shown in the graph?
The domain refers to the set of all possible input values for the function. It can be determined by identifying the range of x-values for which the graph is defined.
How do you calculate the slope of the function?
The slope measures the rate of change of the function. It can be calculated by finding the ratio of the change in y-values to the corresponding change in x-values along the graph.
