Question

what are the x-intercepts of the graphed function?
(-3, 0) and (0, 1.5)
(-3, 0) and (1,0)
(-1, 2) and (1, 0)
(0, 1.5) and (1, 0)

Explanation:

To find the x - intercepts of a function, we look for the points where the graph of the function intersects the x - axis. At these points, the y - coordinate is 0. By examining the given graph, we can see that the graph intersects the x - axis at \(x=- 3\) (where \(y = 0\), so the point is \((-3,0)\)) and at \(x = 1\) (where \(y=0\), so the point is \((1,0)\)). We can eliminate the other options: \((-3,0)\) and \((0,1.5)\) is incorrect because \((0,1.5)\) has a non - zero y - value (it's a y - intercept). \((-1,2)\) and \((1,0)\) is incorrect because \((-1,2)\) has a non - zero y - value. \((0,1.5)\) and \((1,0)\) is incorrect because \((0,1.5)\) has a non - zero y - value.

Answer:

B. \((-3, 0)\) and \((1,0)\)