Question 1

Choose an equation from the following that expresses the fact that a function f is continuous at the number 6.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 2

Find the limit  .

Accepted Answer

The answer of Find the limit  ....

Question 3

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 surface area of  .
How many species of bats would expect to find in that cave?
(b)If you discover that 5 species of bats live in cave estimate the area of the cave.

Accepted Answer

The answer of It makes sense that the larger the...

Question 4

For x = 5 determine whether f is continuous from the right,from the left,or neither.

Accepted Answer

The answer of For x = 5 determine whether f...

Question 5

Evaluate the limit.

Accepted Answer

The answer of Evaluate the limit. ...

Question 6

Use continuity to evaluate the limit.

Accepted Answer

A)  -1 
B)  1 
C)  0 
D)   
E)

Question 7

Find the domain and sketch the graph of the function.What is its range? f (x) =

Accepted Answer

A)   
B)   
C)   
D)

Question 8

For the function f whose graph is shown,state the following.

Accepted Answer

The answer of For the function f whose graph is...

Question 9

Refer to the graph of the function f in the following figure.  
a.Find f (1).
b.Find the value of x for which (i) f(x) = 1 and (ii) f(x) = 0. 
c.Find the domain and range of f.

Accepted Answer

The answer of Refer to the graph of the function...

Question 10

Find the limit.

Accepted Answer

A)  11 
B)  5 
C)  9 
D)  18 
E)  0

Question 11

The graph of the function  is given.State the value of  .

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 12

A rectangle has perimeter 14 m.Express the area of the rectangle as a function  of the length  of one of its sides.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 13

If f (x)=  find f (-4) , f (0), and f (1).

Accepted Answer

The answer of If f (x)=  find f (-4)...

Question 14

Find the limit  ,if it exists.

Accepted Answer

The answer of Find the limit  ,if it exists....

Question 15

The graph shown gives the weight of a certain person as a function of age.Find the age at which the person started an exercise program.

Accepted Answer

A)  54 
B)  38 
C)  30 
D)  20 
E)  35

Question 16

If  ,find and simplify  ,where  .

Accepted Answer

A)   
B)   
C)   
D)

Question 17

Find the vertical asymptotes of the function.

Accepted Answer

A)   
B)   
C)   
D)   
E)  None of these

Question 18

For what value of the constant c is the function f continuous on

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 19

Determine where f is discontinuous.

Accepted Answer

A)  0 only 
B)  0 and -11 
C)  -11 only 
D)  0 and 11 
E)   only

Question 20

Determine whether the function whose graph is given is even,odd,or neither.

Accepted Answer

A)  Even 
B)  Neither 
C)  Odd

Exam 1: Functions and Limits

Choose an equation from the following that expresses the fact that a function f is continuous at the number 6.

Find the limit .

For x = 5 determine whether f is continuous from the right,from the left,or neither.

Evaluate the limit.

Use continuity to evaluate the limit.

Find the domain and sketch the graph of the function.What is its range? f (x) =

For the function f whose graph is shown,state the following.

Refer to the graph of the function f in the following figure. a.Find f (1). b.Find the value of x for which (i) f(x) = 1 and (ii) f(x) = 0. c.Find the domain and range of f.

Find the limit.

The graph of the function is given.State the value of .

A rectangle has perimeter 14 m.Express the area of the rectangle as a function of the length of one of its sides.

If f (x)= find f (-4) , f (0), and f (1).

Find the limit ,if it exists.

The graph shown gives the weight of a certain person as a function of age.Find the age at which the person started an exercise program.

If ,find and simplify ,where .

Find the vertical asymptotes of the function.

For what value of the constant c is the function f continuous on

Determine where f is discontinuous.

Determine whether the function whose graph is given is even,odd,or neither.