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

The y-intercept of the continuous function in the table is (0, 5).

What is the general equation of a straight line?

straight line equation : The general equation of a straight line is -

y = mx + c.

where -

{m} : slope of the line.

{c} : y - intercept

Given is a two column table with 6 rows as follows -

{x} -2 -1 0 1 2 3

{y} 15 10 5 0 -5 -10

The table representing the given function -

y = f(x)

The {y} - intercept of the line is the point on the {y} - axis for which

{x} = 0. So, for {x} = 0, we have the value of {y} is 5.

Therefore, the y-intercept of the continuous function in the table is (0, 5).

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Explanation: