Question

What can you say about the continuous function that generated the following table of values?A.the function has exactly one x-interceptB.the function has more than one x-interceptC.the function has no x-interceptsD.not enough information to answer the question

Answer 1

B. the function has more than one x-intercept.

Step-by-step explanation:

The x-intercept is a point where y is equal to 0.

We can see that we go from a point like (-3, 4) to (0, -3). Since the value of y goes from a positive number 4 to a negative number -3, there will be a value of x between -3 and 0 such that the y-coordinate is 0. It means that the function has at least one x-intercept.

Then, we can see that the point (5, 0) is also in the function, so 5 is also a x-intercept.

Therefore, the function has more than one x-intercept.