BC 1
Quiz #1
Name:_________________
No Calculator allowed. Show all work clearly with explanations as necessary.
1. If the function below is a displacement curve d  d (t ) , sketch the velocity curve on the
same set of axes for 0  t  6 .
2. Solve the following inequality. Give your answer in interval notation and sketch the
solution on the number line.
x2
3
x
3. Sketch the graphs of each of the following. Graphs should be accurate and scales
should be labeled:
y  2( x  1)2  3
a. y  tan 1 ( x)
4. The displacement curve d (t ) and velocity curve v (t ) of a particle satisfy the
conditions that d (1)  1 , d is concave down, and (d (t ))2  v(t ) . Describe the path of the
particle. You may describe the path in prose and/or via a graph …… or another way that
you feel describes the velocity.