Question

2. What are the x-intercepts of the graph of the function defined by (x - 2)(2x + 1)?

A. (2,0) and (-1,0)
B. (2,0) and (-3,0)
C. (-2,0) and (1,0)
D. (-2,0) and (3,0)

Answer 1

The x-intercepts of the graph of the function defined by (x - 2)(2x + 1) are (2,0) and (-1/2,0).

Step-by-step explanation:

The x-intercepts of the graph of the function defined by (x - 2)(2x + 1) can be found by setting the function equal to zero and solving for x. So, we have (x - 2)(2x + 1) = 0. To find the x-intercepts, we set each factor equal to zero and solve for x:

x - 2 = 0, so x = 2

2x + 1 = 0, so x = -1/2

Therefore, the x-intercepts of the graph are (2,0) and (-1/2,0).