Which is an x- intercept of the continuous function in the table??

Option A:

(–1, 0) is the x-intercept of the continuous function.

Solution:

x-intercept:

The x-intercept of the function is the value of the variable x when the function is zero.

i. e If f(x) = 0, then the value of x is the x-intercept.

In the given table see the values of f(x),

When x = –1, then f(x) = 0

When x = 2, then f(x) = 0

When x = 3, then f(x) = 0

Hence –1, 2, 3 are the x-intercepts of the function.

Option A: (–1, 0)

Already proved above that when x = –1, then f(x) = 0.

It is true.

Option B: (0, –6)

Here f(x) = –6 not zero. So this is not x-intercept.

It is false.

Option C: (–6, 0)

Here x = –6. But there is no value in the table that x = –6.

It is false.

Option D: (0, –1)

Here f(x) = –1 not zero. So this is not x-intercept.

It is false.

Option A is the correct answer.

(–1, 0) is the x-intercept of the continuous function in the table.

true

explanation:

the probability is 0