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 negative 10, negative 8, negative 6, negative 4, negative 2, 0. Which is an x-intercept of the continuous function in the table?

An x-intercept of the continuous function in the table is at (f(x) = 0) that is (x = 3) is the x-intercept of the continuous function given in the table and this can be determined by observing the table.

Given :

x                   f(x)

-2                  -10

-1                    -8

0                   -6

1                    -4

2                   -2

3                    0  

An x-intercept of the continuous function in the table is at (f(x) = 0) that is (x = 3) is the x-intercept of the continuous function given in the table.

An y-intercept of the continuous function in the table is at (x = 0) that is (f(x) = -6) is the y-intercept of the continuous function given in the table.

For more information, refer to the link given below:

link

Step-by-step explanation:

Given the table

..xy=f(x)

-2-10

-1-8

0-6

1-4

2-2

30

x intercept means that the value of x when y = f(x) = 0, it is the point where the graph pass through or cut the x axis

So, from the diagram, it is the last column,

F(x) = 0, then, x=3

Then, the x intercept is 3

Extra

Also, for y intercept, it is the point when x = 0 for this case the y intercept is -6/

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.