Question 1

Use the vertical-line test to determine whether the graph represents y as a function of x. Answer yes or no.

Accepted Answer

The answer of Use the vertical-line test to determine whether...

Question 2

Find the indicated one-sided limit.

Accepted Answer

The answer of Find the indicated one-sided limit. ...

Question 3

Determine whether the given function is a polynomial function or rational function. State the degree, if it is a polynomial function.

Accepted Answer

A)  The given function is neither a rational function nor a polynomial function. 
B)  The given function is a polynomial function with degree ö. 
C)  The given function is a rational function. 
D)  The given function is a polynomial function with degree 1. 
E)  The given function is a polynomial function with degree 2.

Question 4

Use the graph of the function f to find  and  if the limit exists.

Accepted Answer

A)   
B)   
C)   
D)

Question 5

Evaluate h (3), where

Accepted Answer

A)  0.25 
B)   
C)  5.25 
D)   
E)

Question 6

Determine whether the given function is a polynomial function or rational function. State the degree, if it is a polynomial function.  Answer polynomial or rational. __________
If a polynomial function, the degree is __________

Accepted Answer

The answer of Determine whether the given function is a...

Question 7

Economists define the disposable annual income for an individual by the equation D = (1 - r)T, where T is the individual's total income and r is the net rate at which he or she is taxed. What is the disposable income for an individual whose income is $80,000 and whose net tax rate is 21%?
$__________

Accepted Answer

The answer of Economists define the disposable annual income for...

Question 8

Determine whether the equation defines y as a linear function of x. Answer yes or no.

Accepted Answer

The answer of Determine whether the equation defines y as...

Question 9

Let   and  . Find the rule for the function

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 10

A study prepared for a Sunbelt town's Chamber of Commerce projected that the population of the town in the next 5 yr will grow according to the rule  where P(x) denotes the population x mo from now.
By how much will the population increase during the next 4 mo?
__________
During the next 16 mo?
__________

Accepted Answer

The answer of A study prepared for a Sunbelt town's...

Question 11

The volume of a spherical cancerous tumor is given by the function  where r is the radius of the tumor in centimeters. By what factor is the volume of the tumor increased if its radius is decuple?

Accepted Answer

The answer of The volume of a spherical cancerous tumor...

Question 12

Find  of the functions.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 13

Let  ,  . Find the rule for the function

Accepted Answer

The answer of Let  ,  . Find the...

Question 14

Find function f such that   and

Accepted Answer

The answer of Find function f such that  ...

Question 15

An apple orchard has an average yield of 37 bushels of apples/tree if tree density is 22 trees/acre. For each unit increase in tree density, the yield decreases by 3 bushels. Letting x denote the number of trees beyond 22/acre, find a function in x that gives the yield of apples.

Accepted Answer

A)  f(x) = (22 + x)(37 - 3x) 
B)  f(x) = (22 - x)(37 + 3x) 
C)  f(x) = 3(22 - x)(37 - 3x) 
D)  f(x) = 3(22 + x)(37 - x) 
E)  f(x) = (22 + x)(37 + 3x)

Question 16

Find the indicated limit, if it exists.

Accepted Answer

A)   
B)   
C)   
D)   
E)  The limit does not exist.

Question 17

Use the four-step process to find the slope of the tangent line to the graph of the given function at any point.   __________

Accepted Answer

The answer of Use the four-step process to find the...

Question 18

Find  and  , where

Accepted Answer

A)   
B)   
C)   
D)   
E)  The limits do not exist

Question 19

Find the one-sided limit.

Accepted Answer

The answer of Find the one-sided limit. ...

Question 20

Find the limit, if it exists.

Accepted Answer

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

Exam 2: Functions, Limits and the Derivative

Use the vertical-line test to determine whether the graph represents y as a function of x. Answer yes or no.

Find the indicated one-sided limit.

Determine whether the given function is a polynomial function or rational function. State the degree, if it is a polynomial function.

Use the graph of the function f to find and if the limit exists.

Evaluate h (3) , where

Determine whether the given function is a polynomial function or rational function. State the degree, if it is a polynomial function. Answer polynomial or rational. If a polynomial function, the degree is

Determine whether the equation defines y as a linear function of x. Answer yes or no.

Let and . Find the rule for the function

A study prepared for a Sunbelt town's Chamber of Commerce projected that the population of the town in the next 5 yr will grow according to the rule where P(x) denotes the population x mo from now. By how much will the population increase during the next 4 mo? During the next 16 mo?

The volume of a spherical cancerous tumor is given by the function where r is the radius of the tumor in centimeters. By what factor is the volume of the tumor increased if its radius is decuple?

Find of the functions.

Let , . Find the rule for the function

Find function f such that and

An apple orchard has an average yield of 37 bushels of apples/tree if tree density is 22 trees/acre. For each unit increase in tree density, the yield decreases by 3 bushels. Letting x denote the number of trees beyond 22/acre, find a function in x that gives the yield of apples.

Find the indicated limit, if it exists.

Use the four-step process to find the slope of the tangent line to the graph of the given function at any point. __________

Find and , where

Find the one-sided limit.

Find the limit, if it exists.

Exam 2: Functions, Limits and the Derivative

Use the vertical-line test to determine whether the graph represents y as a function of x. Answer yes or no.

Find the indicated one-sided limit.

Determine whether the given function is a polynomial function or rational function. State the degree, if it is a polynomial function.

Use the graph of the function f to find and if the limit exists.

Evaluate h (3) , where

Determine whether the given function is a polynomial function or rational function. State the degree, if it is a polynomial function. Answer polynomial or rational. __________ If a polynomial function, the degree is __________

Determine whether the equation defines y as a linear function of x. Answer yes or no.

Let and . Find the rule for the function

The volume of a spherical cancerous tumor is given by the function where r is the radius of the tumor in centimeters. By what factor is the volume of the tumor increased if its radius is decuple?

Find of the functions.

Let , . Find the rule for the function

Find function f such that and

An apple orchard has an average yield of 37 bushels of apples/tree if tree density is 22 trees/acre. For each unit increase in tree density, the yield decreases by 3 bushels. Letting x denote the number of trees beyond 22/acre, find a function in x that gives the yield of apples.

Find the indicated limit, if it exists.

Use the four-step process to find the slope of the tangent line to the graph of the given function at any point. __________

Find and , where

Find the one-sided limit.

Find the limit, if it exists.

Determine whether the given function is a polynomial function or rational function. State the degree, if it is a polynomial function. Answer polynomial or rational. If a polynomial function, the degree is