Question

which statement is true? a. (0, 0) is the x - and y - intercept of the function. b. the function has no intercepts. c. (0, 1) is the x - and y - intercept of the function. d. (1, 1) is the x - and y - intercept of the function.

Explanation:

Step1: Recall intercept definitions

The \(x -\)intercept is the point where the graph crosses the \(x -\)axis (\(y = 0\)), and the \(y -\)intercept is the point where the graph crosses the \(y -\)axis (\(x = 0\)).

Step2: Analyze the graph

Looking at the given graph, the curve does not cross the \(x -\)axis and \(y -\)axis at any point. So the function has no \(x -\)intercepts and no \(y -\)intercepts.

Answer:

B. The function has no intercepts.