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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)

Which lists all of the xintercepts of the graphed function A 06 B 10 and 20 C 10 20 and 30 D 10 20 30 06 class=

Respuesta :

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

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 [tex]y = 0[/tex]

Looking at the graph we have:

  • First cut point:

[tex](x_ {1}, y_ {1}) = (- 3,0)[/tex]

  • Second cut point:

[tex](x_ {2}, y_ {2}) = (1,0)[/tex]

  • Third cut point:

[tex](x_ {3}, y_ {3}) = (2,0)[/tex]

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

Answer:

[tex](x_ {1}, y_ {1}) = (- 3,0)\\(x_ {2}, y_ {2}) = (1,0)\\(x_ {3}, y_ {3}) = (2,0)[/tex]

Option C

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