Question

Which lists all of the x-intercepts of the graphed function?

A] (0,6)
B] (1,0) and (2,0)
C] (1,0) (2,0) and (-3,0)
D] (1,0) (2,0) (-3,0) (0,6)

Answer 1

The answer is C, because those are the points that cross the x-axis.

Answer 2

Keywords:

Graph, function, interceptions, horizontal axis, cut points

For this case we have a function graph and they ask us to find all the intercepts with the x axis. For this we must observe the cut points with the horizontal axis. The cutoff points occur when
`y = 0`

Looking at the graph we have:

• First cut point:

`(x_ {1}, y_ {1}) = (- 3,0)`

• Second cut point:

`(x_ {2}, y_ {2}) = (1,0)`

• Third cut point:

`(x_ {3}, y_ {3}) = (2,0)`

Thus, the x-intercepts of the graphed function are:
`(x_ {1}, y_ {1}) = (- 3,0);\ (x_ {2}, y_ {2}) = (1,0);\ (x_ {3}, y_ {3}) = (2,0)`

Answer:

`(x_ {1}, y_ {1}) = (- 3,0)\\(x_ {2}, y_ {2}) = (1,0)\\(x_ {3}, y_ {3}) = (2,0)`

Option C