Question

A 2-column table with 6 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries 20, 0, negative 6, negative 4, 0, 0.

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

(–1, 0)
(0, –6)
(–6, 0)
(0, –1)

Answer 1

An x-intercept is a point where the graph of a function crosses the x-axis, meaning the corresponding y-value is zero. To find the x-intercepts from the given table, we look for entries in the second column (f(x)) where the value is zero.

Looking at the second column, we can see that the function f(x) has an x-intercept at x = -1 since f(-1) = 0. Therefore, the correct x-intercept from the options provided is (-1, 0).