Question

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

0 (0,6)
O (1, 0) and (2, 0)
O (1,0), (2, 0), and (3, 0)
O (1,0), (2.0), (3, 0), and (0, 6).

Answer 1

(-3,0), (1,0) and (2,0)

Explanation:

The x-intercept is where a line crosses the x-axis, so this is the point where y=0.

The y-intercept is where a line crosses the yx-axis, so this is the point where x=0.

From the graph you can see that the graph crosses the x-axis at (-3,0), (1,0) and (2,0)

From the graph you can see that the graph crosses the y-axis at (0,6)

Hence, correct answer is (-3,0), (1,0) and (2,0)

Answer 2

The x-intercepts of the graph are:

(1,0) , (2,0) and (-3,0)

Explanation:

We know that the x-intercepts of the graph are the points where the y-value of the coordinate is equal to zero.

i.e. the points where the graph touches or passes the x-axis.

Here the graph passes the x-axis at the points :

(1,0) , (2,0) and (-3,0) and hence these are the three x-intercepts of the graphed function.