Question

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

Answer 1

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

Answer 2

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