Question

The graph below shows y = b(x). image c138745352264c59babfe805822b4e5e Which statement BEST describes the graph? A The graph shows a function because it has an x-intercept and a y-intercept. B The graph does not show a function because the range of the graph is not all real numbers. C The graph shows a function because each element of the domain is assigned to exactly one element of the range. D The graph does not show a function because many elements of the domain are assigned to the same element of the range.

Answer 1

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