Question

A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 3, negative 2, negative 1, 0, 1. The second column is labeled f of x with entries negative 10, 0, 0, negative 4, negative 6, 0.

Which is a y-intercept of the continuous function in the table?

(0, –6)
(–2, 0)
(–6, 0)
(0, –2)

Answer 1

(0, –6)

Explanation:

Given

`x \to f(x)`

`-4 \to -10`

`-3 \to 0`

`-2 \to 0`

`-1 \to -4`

`0 \to -6`

`1 \to 0`

Required

The y intercept

This is the point where x =0

From the table, we have:

`x \to f(x)`

`0 \to -6`

Hence, the y intercept is: (0, –6)