Final answer:
A "determining if a relation is a function" calculator is primarily used to check for repeated x-values to see if a relation is a function. To determine this, one would construct a scatter plot and inspect the plot or use the calculator's function to check for any repeated x-values.
Step-by-step explanation:
A "determining if a relation is a function" calculator is utilized primarily to check for repeated x-values in a relation, which answers the question posed. Among the options provided:
- B) To graph the relation on a coordinate plane may be helpful to visually determine if a relation is a function, but this is not the primary purpose of the calculator when determining if a relation is a function.
- C) To check for repeated x-values in a relation is the correct use of such a calculator because a function has exactly one output for each input and therefore must not have repeated x-values.
- D) To calculate the slope of the relation is not directly related to determining if a relation is a function, although understanding slopes is important in analyzing functions.
To use a calculator to determine if a relation is a function, you would follow these steps:
- Decide which variable should be the independent variable and which should be the dependent variable.
- Construct a scatter plot of the data on the calculator.
- Inspect the plot or use the calculator's function to check for any repeated x-values.
An absence of repeated x-values confirms that the relation is a function.