Question

which is an x - intercept of the graphed function? (0,4) (-1,0) (4,0) (0,-1)

Explanation:

Step1: Recall x - intercept definition

An x - intercept of a function is a point where the graph of the function intersects the x - axis. At the x - axis, the y - coordinate of the point is 0. So, we need to look for the option where the y - value is 0.

Step2: Analyze each option

• Option (0, 4): The y - value is 4, not 0. So, it is not an x - intercept.
• Option (-1, 0): The y - value is 0. Let's check the graph. From the graph, we can see that the function intersects the x - axis at x=-1 (since the point (-1, 0) has y = 0).
• Option (4, 0): Looking at the graph, the function does not intersect the x - axis at x = 4.
• Option (0, -1): The y - value is - 1, not 0. So, it is not an x - intercept.

Answer:

B. (-1, 0)