Question

A 2-column table with 6 rows. The first column is labeled x with entries negative 1, 0, 1, 2, 3, 4. The second column is labeled f of x with entries negative 9, negative 8, negative 7, 0, 19, 56. What is the x-intercept of the continuous function shown in the table? (0, –8) (0, 2) (–8, 0) (2, 0)

Answer 1

Answer: (2,0)

Explanation: The system shows a table with values of x and its correspondent in a function f(x):

x f(x)

1 -9

0 -8

1 -7

2 0

3 19

4 56

The question asks for x-intercept, which means it wants the value of x when f(x) = 0. Analyzing the table, when f(x) = 0, x = 2.

In conclusion, x-intercept is (2,0)

Answer 2

(2, 0)

Explanation:

The only table entry with y = 0 is (x, y) = (2, 0). That is the x-intercept.