Answer:
C The graph shows a function because each element of the domain is assigned to exactly one element of the range.
Explanation:
A The graph shows a function because it has an x-intercept and a y-intercept.
- Incorrect as functions are not x- and y- intercept only
B The graph does not show a function because the range of the graph is not all real numbers.
- Incorrect as the range is all real numbers
C The graph shows a function because each element of the domain is assigned to exactly one element of the range.
- Correct, this is the definition of a function
D The graph does not show a function because many elements of the domain are assigned to the same element of the range.
- Incorrect as per previous statement