Question 1

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

Question 2

The graphs of   and   are given.Find the values of   and   .

Accepted Answer

The answer of The graphs of   and ...

Question 3

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

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 4

The relationship between the Fahrenheit and Celsius temperature scales is given by the linear function.   What is the F-intercept and what does it represent?

Accepted Answer

A) 0, Fahrenheit temperature corresponding to   
B)    , Fahrenheit temperature corresponding to   
C)    , Celsius temperature corresponding to   
D) 32, Celsius temperature corresponding to   
E) 32, Fahrenheit temperature corresponding to   
A) 0, Fahrenheit temperature corresponding to   
B)    , Fahrenheit temperature corresponding to   
C)    , Celsius temperature corresponding to   
D) 32, Celsius temperature corresponding to   
E) 32, Fahrenheit temperature corresponding to

Question 5

Find the limit.

Accepted Answer

The answer of Find the limit.  ...

Question 6

Find the domain of the function.

Accepted Answer

The answer of Find the domain of the function. ...

Question 7

A rectangle has perimeter   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)    
A)    
B)    
C)    
D)    
E)

Question 8

Which of the following graphs is neither even nor odd?

Accepted Answer

A)    
B)    
C)    
A)    
B)    
C)

Question 9

Find the limit   .

Accepted Answer

A)    
B)    
C)    
D) 1 
A)    
B)    
C)    
D) 1

Question 10

Evaluate the limit.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 11

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

Accepted Answer

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

Question 12

Find the limit.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 13

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

Accepted Answer

A) D: (-   ,
  ); R: [0,
  )
  
B) D: (-   ,
  ); R: (-
  , 0]
  (3,
  )
  
C) D: (-   ,
  ); R: (-
  , 3]
  
D) D: (-   ,
  ); R: [-1,
  )
  
A) D: (-   ,
  ); R: [0,
  )
  
B) D: (-   ,
  ); R: (-
  , 0]
  (3,
  )
  
C) D: (-   ,
  ); R: (-
  , 3]
  
D) D: (-   ,
  ); R: [-1,
  )

Question 14

Find an expression for the function   whose graph is the bottom half of the parabola   .

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 15

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.

Accepted Answer

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

Question 16

Find the limit   , if it exists.

Accepted Answer

A)    
B)    
C) Does not exist 
D)    
A)    
B)    
C) Does not exist 
D)

Question 17

Many physical quantities are connected by inverse square laws, that is, by power functions of the form   .In particular, the illumination of an object by a light source is inversely proportional to the square of the distance from the source. Suppose that after dark you are in a room with just one lamp and you are trying to read a book. The light is too dim and so you move   the distance to the lamp. How much brighter is the light?

Accepted Answer

A)    times 
B)    times 
C)    times 
D)    times 
E)    times 
A)    times 
B)    times 
C)    times 
D)    times 
E)    times

Question 18

The monthly cost of driving a car depends on the number of miles driven. Julia found that in October it cost her   to drive   mi and in July it cost her   to drive   mi. Express the monthly cost C as a function of the distance driven d assuming that a linear relationship gives a suitable model.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 19

If f and g are continuous functions with

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 20

Find the domain of the function.

Accepted Answer

The answer of Find the domain of the function. ...

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.

The graphs of and are given.Find the values of and .

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

The relationship between the Fahrenheit and Celsius temperature scales is given by the linear function. What is the F-intercept and what does it represent?

Find the limit.

Find the domain of the function.

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

Which of the following graphs is neither even nor odd?

Find the limit .

Evaluate the limit.

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

Find the limit.

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

Find an expression for the function whose graph is the bottom half of the parabola .

Find the limit , if it exists.

The monthly cost of driving a car depends on the number of miles driven. Julia found that in October it cost her to drive mi and in July it cost her to drive mi. Express the monthly cost C as a function of the distance driven d assuming that a linear relationship gives a suitable model.

If f and g are continuous functions with

Find the domain of the function.

Derivatives

Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions

Applications of Differentiation

Integrals

Techniques of Integration

Applications of Integration

Series

Parametric Equations and Polar Coordinates

Vectors and the Geometry of Space

Partial Derivatives

Multiple Integrals

Vector Calculus

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Exam 1: Functions and Limits

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.

The graphs of and are given.Find the values of and .

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

The relationship between the Fahrenheit and Celsius temperature scales is given by the linear function. What is the F-intercept and what does it represent?

Find the limit.

Find the domain of the function.

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

Which of the following graphs is neither even nor odd?

Find the limit .

Evaluate the limit.

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

Find the limit.

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

Find an expression for the function whose graph is the bottom half of the parabola .

Find the limit , if it exists.

The monthly cost of driving a car depends on the number of miles driven. Julia found that in October it cost her to drive mi and in July it cost her to drive mi. Express the monthly cost C as a function of the distance driven d assuming that a linear relationship gives a suitable model.

If f and g are continuous functions with

Find the domain of the function.

Derivatives

Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions

Applications of Differentiation

Integrals

Techniques of Integration

Applications of Integration

Series

Parametric Equations and Polar Coordinates

Vectors and the Geometry of Space

Partial Derivatives

Multiple Integrals

Vector Calculus

Filters