Quiz 5:   Name_____________

1)

a) Mark all the points where the slope is zero:  Identify those points as Concave Up (CU),  Concave Down (CD), or Neither (N).

b) Estimate the slope at the points A, B and C.

f[x_]  = x (x + 2) (x - 2);
\(\(Plot[
f[x], 
{x, \ \(-3\), 
          3}, 
GridLines -> 
          Automatic, 
Frame -> 
          True, 
Epilog -> {
PointSize[0.02], 
xx = 
              0; 
Point[{xx, 
                f[xx]}], 
Text["A", {xx, 
                f[xx]}, {\(-1\), \(-1\)}], 
xx = 
              2; 
Point[{xx, 
                f[xx]}], 
Text["B", {xx, 
                f[xx]}, {\(-1\), \(-1\)}], 
xx = \(-2\); 
Point[{xx, f[xx]}], 
Text["C", {xx, 
                f[xx]}, {\(-1\), \(-1\)}]
}
];\)\)

2)  I think I got       /100 on last nights exam.