a) Zeros is when y = 0
So by looking at the graph , when y = 0, x = 1/2, or x = - 4
b) so # 3 . u(x) = (2x - 1)(x + 4) is the matching function
because:
2x - 1 = 0; x = 1/2
x + 4 = 0; x = -4
c) Plug in the x- and y-values into the equation of number 3, if you get a true equation, then the coordinate points lie on the graph.
First, plug in x = 1/2:
(2x - 1)(x + 4) = 0
(2* 1/2 - 1) (1/2 + 4) = 0
0 = 0
Second, plug in x = -4
(2x - 1)(x + 4) = 0
(2(-4)- 1)(-4 + 4) = 0
0 = 0
So (1/2, 0) and (-4, 0) are the coordinate points on the graph