Question

What are the x-intercepts for the graph of
http://i.imgur.com/gj1ahe1.png
(2,0) and (-6,0)
(-2,0) and (6,0)
(0,-1) and (0,6)
(0,1) and (0,-6)

Answer 1

x-intercepts are where the graph crosses the x-axis.

The y-coordinate of an x-intercept is always zero because to get on the x-axis, the y-value has to be zero.

Knowing that, then what value of x makes (x - 2) = 0 AND what value of x makes (x + 6) = 0 ? @mikeshaw

Answer 2

Hint: These two options are out because they have y-coordinates that are not zero. So, these points cannot lie on the x-axis and cannot be x-intercepts because of that.

(0,-1) and (0,6) (0,1) and (0,-6)

Answer 3

@mikeshaw

Answer 4

it would be (0,-1) (0,6) the y coordinates cannot be negative right?

Answer 5

No. The y-coordinates of the x-intercepts will always be ZERO.

That knocks out options C and D from being the correct answer.

Try again. @mikeshaw

Answer 6

Y cannot be negative right?

Answer 7

i'm confused on this problem. I think it would be NB then

Answer 8

Y HAS to be ZERO.

Answer 9

The answer is one of these two:

(2,0) and (-6,0) (-2,0) and (6,0)

Answer 10

To choose, do this:

Knowing that, then what value of x makes (x - 2) = 0 AND what value of x makes (x + 6) = 0 ? @mikeshaw

Answer 11

If x - 2 - 0, then x = ?

Also, if x + 6 = 0, then x = ?

Answer 12

x=6 then

Answer 13

No.

x + 6 = 0
-6 - 6
------------
x = -6

That goes with (-6,0)

Answer 14

sorry i meant to type -6

Answer 15

(x - 2) = 0
+2 +2
-----------
x = 2

That goes with (2,0)

Answer 16

(-6,0) and (2,0) are the x-intercepts.

Answer 17

thank you