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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 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) class=

Verified Answer :

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 \(y = 0\)

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

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