Question 1

An open rectangular box with volume   has a square base. Express the surface area of the box as a function  of the length  of a side of the base.

Accepted Answer

A)   
B)   
C)   
D)   
E)    D

Question 2

Evaluate the limit.

Accepted Answer

0

Question 3

Find the limit  , if it exists.

Accepted Answer

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

Question 4

By graphing the function  and zooming in toward the point where the graph crosses the y-axis, estimate the value of

Accepted Answer

The answer of By graphing the function  and zooming...

Question 5

Use the graph of the function to state the value of  if it exists.

Accepted Answer

A)   
B)   
C)   
D)  1
E)  does not exist

Question 6

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

Accepted Answer

The answer of For  determine whether f is continuous...

Question 7

Find the limit  .

Accepted Answer

The answer of Find the limit  ....

Question 8

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

Accepted Answer

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

Question 9

Evaluate the limit.

Accepted Answer

The answer of Evaluate the limit. ...

Question 10

Let  Find the following limits.

Accepted Answer

A)    and 
B)    and 
C)  both 1
D)    and 
E)  both

Question 11

Find the domain of the function.

Accepted Answer

A)  (- ∞\infty∞ , 0)   ∪\cup∪  (0,  ∞\infty∞ ) 
B)  (- ∞\infty∞ , 0) 
C)   
D)

Question 12

Determine whether f is even, odd, or neither.

Accepted Answer

The answer of Determine whether f is even, odd, or...

Question 13

Determine where f is discontinuous.

Accepted Answer

A)    only
B)   
C)    only
D)   
E)  0 only

Question 14

If  , evaluate the difference quotient  .

Accepted Answer

A)  h
B)   
C)   
D)   
E)  none of these

Question 15

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

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 16

Find the limit  , if it exists.

Accepted Answer

A)  5
B)  3
C)  Does not exist
D)  2

Question 17

If  , find and simplify  , where  .

Accepted Answer

A)   
B)   
C)   
D)

Question 18

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)
  and (ii)
  . 
c. Find the domain and range of f.

Accepted Answer

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

Question 19

Find the limit  .

Accepted Answer

A)  6
B)  12
C)  -1
D)  -12

Question 20

Determine where f is discontinuous.

Accepted Answer

The answer of Determine where f is discontinuous. ...

Exam 1: Functions and Limits

An open rectangular box with volume has a square base. Express the surface area of the box as a function of the length of a side of the base.

Evaluate the limit.

Find the limit , if it exists.

By graphing the function and zooming in toward the point where the graph crosses the y-axis, estimate the value of

Use the graph of the function to state the value of if it exists.

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

Find the limit .

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

Evaluate the limit.

Let Find the following limits.

Find the domain of the function. $Find the domain of the function. A) (- \infty , 0) \cup (0, \infty ) B) (- \infty , 0) C) D)$

Determine whether f is even, odd, or neither.

Determine where f is discontinuous.

If , evaluate the difference quotient .

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

Find the limit , if it exists.

If , find and simplify , where .

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) and (ii) . c. Find the domain and range of f.

Find the limit .

Determine where f is discontinuous.