Stewart - Calculus 8e Chapter 1 Form A
1. Find the domain of the function.
2. Determine whether f is even, odd, or neither.
3. The graphs of and are given.
a) For what values of is ?
b) Find the values of and .
4. It makes sense that the larger the area of a region, the larger the number of species that inhabit the
region. Many ecologists have modeled the species-area relation with a power function and, in
particular, the number of species S of bats living in caves in central Mexico has been related to the
surface area A measured in of the caves by the equation
(a) The cave called mission impossible near puebla, mexico, has suface area of .
How many species of bats would expect to find in that cave?
(b) If you discover that species of bats live in cave estimate the area of the cave.
© 2016 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
,Stewart - Calculus 8e Chapter 1 Form A
5. Express the function in the form of .
6. The position of a car is given by the values in the following table.
Estimate the instantaneous velocity when by averaging the velocities for the periods
.
7. Consider the following function.
Determine the values of a for which exists.
8. Find the limit.
9. Evaluate the limit.
10. Find the limit.
© 2016 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
,Stewart - Calculus 8e Chapter 1 Form A
11. Evaluate the limit.
12. Evaluate the limit.
13. Evaluate the limit.
14. Find a number such that if , then , where .
15. Find the point at which the given function is discontinuous.
16. Write an equation that expresses the fact that a function f is continuous at the number .
17. Find a function g that agrees with f for and is continuous on .
18. Let and . Find .
19. Find the limit .
20. Find the numbers, if any, where the function is discontinuous.
© 2016 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
, Stewart - Calculus 8e Chapter 1 Form A
Answer Key
1.
2. even
3. a) –2, 10
b) ,
4. a) species
b)
5.
6. ft/s
7.
8.
9.
10. 0
11.
12.
13.
14.
15.
© 2016 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
1. Find the domain of the function.
2. Determine whether f is even, odd, or neither.
3. The graphs of and are given.
a) For what values of is ?
b) Find the values of and .
4. It makes sense that the larger the area of a region, the larger the number of species that inhabit the
region. Many ecologists have modeled the species-area relation with a power function and, in
particular, the number of species S of bats living in caves in central Mexico has been related to the
surface area A measured in of the caves by the equation
(a) The cave called mission impossible near puebla, mexico, has suface area of .
How many species of bats would expect to find in that cave?
(b) If you discover that species of bats live in cave estimate the area of the cave.
© 2016 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
,Stewart - Calculus 8e Chapter 1 Form A
5. Express the function in the form of .
6. The position of a car is given by the values in the following table.
Estimate the instantaneous velocity when by averaging the velocities for the periods
.
7. Consider the following function.
Determine the values of a for which exists.
8. Find the limit.
9. Evaluate the limit.
10. Find the limit.
© 2016 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
,Stewart - Calculus 8e Chapter 1 Form A
11. Evaluate the limit.
12. Evaluate the limit.
13. Evaluate the limit.
14. Find a number such that if , then , where .
15. Find the point at which the given function is discontinuous.
16. Write an equation that expresses the fact that a function f is continuous at the number .
17. Find a function g that agrees with f for and is continuous on .
18. Let and . Find .
19. Find the limit .
20. Find the numbers, if any, where the function is discontinuous.
© 2016 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
, Stewart - Calculus 8e Chapter 1 Form A
Answer Key
1.
2. even
3. a) –2, 10
b) ,
4. a) species
b)
5.
6. ft/s
7.
8.
9.
10. 0
11.
12.
13.
14.
15.
© 2016 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
