Question 1

For the function, write the equations for any horizontal asymptote(s). 
A)  and 
B)  and 
C) 
D) 
E) no horizontal asymptotes

Accepted Answer

A

Question 2

Complete the table and use it to predict the limit, if it exists.  
A) 
B) 
C) 
D) 
E) does not exist

Accepted Answer

Without additional information or context about the table and its data, it is impossible to determine a pattern or trend that would allow for a prediction of the limit. Therefore, the limit does not exist.

Question 3

Numerically estimate the limits. Show the numerical estimation table.  start  , increment  estimate to the nearest integer.
A) 
B) 
C) 
D) 
E)

Accepted Answer

A

Question 4

Write a linear model for the given rate of change and initial output value. The cost to produce plastic toys increases by 10 cents per toy produced. The fixed cost is 90 dollars.
A) 
B) 
C) 
D) 
E)

Accepted Answer

Let x be the number of toys produced and y be the cost to produce x toys.

The fixed cost is $90, which means that when x=0, y=90.

The cost to produce plastic toys increases by 10 cents per toy, which means that the rate of change in y with respect to x is 0.10.

Therefore, the linear model is:

y = 0.10x + 90

Choice B matches this linear model.

Question 5

Calculate the output value that corresponds to the given input values of the function. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Calculate the output value that corresponds to...

Question 6

Find the input of the function  corresponding to the output  to three decimal places.
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find the input of the function ...

Question 7

Use properties of limits and algebraic methods to find the limit, if it exists. 
A) -1
B) 14
C) -14
D) 1
E) does not exist

Accepted Answer

The answer of Use properties of limits and algebraic methods...

Question 8

Given  evaluate  Round to the nearest ten-thousandth.
A) 426.75
B) 400.429
C) 406.429
D)  2.9975

Accepted Answer

The answer of Given  evaluate  Round to the...

Question 9

Use properties of limits and algebraic methods to find the limit, if it exists. 
A) 
B) 
C) 
D) 
E) does not exist

Accepted Answer

The answer of Use properties of limits and algebraic methods...

Question 10

Evaluate the function at the given values of the independent variables. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Evaluate the function at the given values...

Question 11

Use properties of limits and algebraic methods to find the limit, if it exists. 
A) 
B) 
C) 
D) 
E) does not exist

Accepted Answer

The answer of Use properties of limits and algebraic methods...

Question 12

Calculate the average rate of change in the population (in people per month) between April, 1999, and July, 2001. 
A) -3548 people per month
B) -3992 people per month
C) -19,160 people per month
D) -2903 people per month
E) -8709 people per month

Accepted Answer

The answer of Calculate the average rate of change in...

Question 13

For the given function write limit notation for the end behavior. 
A)  
B)  
C)  
D)  
E)

Accepted Answer

The answer of For the given function write limit notation...

Question 14

The percentage of mothers in a large city who gave birth to a child in 2005 and returned to the workforce within x months of having the child is modeled as  percent What percentage of mothers returned to the workforce within the first year after giving birth?
Round to the nearest thousandth.
A) 51.222%
B) 28.435%
C) 36.925%
D) 38.980%
E) 25.272%

Accepted Answer

The answer of The percentage of mothers in a large...

Question 15

Use properties of limits and algebraic methods to find the limit, if it exists. 
A) 
B) 
C) 
D) 
E) does not exist

Accepted Answer

The answer of Use properties of limits and algebraic methods...

Question 16

How much money would you have to invest today at 6% APR compounded monthly to accumulate the sum of $270,000 in 37 years? Round to the nearest hundredth.
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of How much money would you have to...

Question 17

Find the input of the function  corresponding to the output  .
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find the input of the function ...

Question 18

Use properties of limits and algebraic methods to find the limit, if it exists. 
A) 
B) 
C) 
D) 
E) does not exist

Accepted Answer

The answer of Use properties of limits and algebraic methods...

Question 19

Calculate the constant percentage change for the given function. 
A) 15%
B) 0.15%
C) 72%
D) 82.8%
E) 10.8%

Accepted Answer

The answer of Calculate the constant percentage change for the...

Question 20

Use the formula  to find the doubling time t, in years, for an investment at r% compounded n times per year. Suppose you make an investment of $1300 at interest rate 12% compounded quarterly. How long will it take for your investment to double?
A) 3.06 years
B) 1.95 years
C) 11.72 years
D) 0.76 years
E) 5.86 years

Accepted Answer

The answer of Use the formula  to find the...

Quiz 1: Ingredients of Change: Functions an Limits

For the function, write the equations for any horizontal asymptote(s) .

Complete the table and use it to predict the limit, if it exists.

Numerically estimate the limits. Show the numerical estimation table. start , increment estimate to the nearest integer.

Write a linear model for the given rate of change and initial output value. The cost to produce plastic toys increases by 10 cents per toy produced. The fixed cost is 90 dollars.

Calculate the output value that corresponds to the given input values of the function.

Find the input of the function corresponding to the output to three decimal places.

Use properties of limits and algebraic methods to find the limit, if it exists.

Given evaluate Round to the nearest ten-thousandth.

Use properties of limits and algebraic methods to find the limit, if it exists.

Evaluate the function at the given values of the independent variables.

Use properties of limits and algebraic methods to find the limit, if it exists.

Calculate the average rate of change in the population (in people per month) between April, 1999, and July, 2001.

For the given function write limit notation for the end behavior.

The percentage of mothers in a large city who gave birth to a child in 2005 and returned to the workforce within x months of having the child is modeled as percent What percentage of mothers returned to the workforce within the first year after giving birth? Round to the nearest thousandth.

Use properties of limits and algebraic methods to find the limit, if it exists.

How much money would you have to invest today at 6% APR compounded monthly to accumulate the sum of $270,000 in 37 years? Round to the nearest hundredth.

Find the input of the function corresponding to the output .

Use properties of limits and algebraic methods to find the limit, if it exists.

Calculate the constant percentage change for the given function.

Use the formula to find the doubling time t, in years, for an investment at r% compounded n times per year. Suppose you make an investment of $1300 at interest rate 12% compounded quarterly. How long will it take for your investment to double?