.
Put the scales on both axes. What is the domain? What is the range?
Math 2254 Test # 1
No calculator allowed.
1. Give a rough sketch of .
Put the scales on both axes. What is the domain? What is the range?
2. Find the derivatives of the functions:
a)
b) 
3. Find the inverse function, 
, of
.
4. Solve the equation: 
= 8.
5. Pictured is the graph of the function
. On the same coordinate system, sketch the graph of the inverse
function, 
.
6. Is the function 
the inverse of the function
? Give a reason for your answer.
For problems 7-11, find dy/dx. Put your final answer in a simplified form.
7. y = ln
8. y =
9. y = arctan 
10. y =
11. y = ln 
For problems 12-17, evaluate the integrals. Simplify your answers.
12. 
13.
14.
15. 
16.
17.
