Derivative Graphing Practice!
Use everything you’ve learned from algebra, precalculus and calculus to graph y 
2 3
x  2x 1
3
without your graphing calculator.
8
6
1. State the y-intercept.
4
2
-10
2. State the first derivative.
-5
5
10
-2
-4
-6
-8
-10
3. Make a sign chart for the first derivative and explain BRIEFLY how that shows you where the
maximum and minimum are.
4. State the second derivative.
5. Make a sign chart for the second derivative and explain BRIEFLY how that shows you where the
graph is concave up and concave down.
Use everything you’ve learned from algebra, precalculus and calculus to graph y 
x4
without your
x 1
graphing calculator.
8
6
4
2
-10
-5
5
10
-2
-4
-6
-8
-10
1. The first derivative is ________________________________________.
2. The second derivative is ______________________________________.
3. The function is increasing on ______________________________________.
4. The function is decreasing on ______________________________________.
5. The function is concave up on ______________________________________.
6. The function is concave down on ___________________________________.
7. The y-intercept is __________________________.
8. The x-intercept(s) is(are) ______________________.
9. The vertical asymptote is _______________.
10. The horizontal asymptote is _______________.
11. The local maximum(s) is(are) __________________
12. The local minimum(s) is(are) __________________.