Question 1

The horizontal asymptote for   is given by the equation   .

Accepted Answer

A) True 
 B)False

Question 2

A rational function is one that always produces rational values.

Accepted Answer

A) True 
 B)False

Question 3

For   , what is the minimum value of the cubic function   ? Round your answer to two decimal places. ​

Accepted Answer

A)  0.62 
B)  3.09 
C)  0 
D)  6.00 
A)  0.62 
B)  3.09 
C)  0 
D)  6.00

Question 4

High-degree polynomials may have many zeros.

Accepted Answer

A) True 
 B)False

Question 5

A rational function is a function for which the horizontal and vertical asymptotes are the same.

Accepted Answer

A) True 
 B)False

Question 6

The growth rate G, in millions per year, of a certain population depends on the number N, in millions, of individuals present.The relationship is   . ​
What is the maximum growth rate of the population? Round your answer to two decimal places.
​

Accepted Answer

A)  1.29 million per year 
B)  0.49 million per year 
C)  0.86 million per year 
D)  0.15 million per year 
A)  1.29 million per year 
B)  0.49 million per year 
C)  0.86 million per year 
D)  0.15 million per year

Question 7

The growth rate G, in millions per year, of a certain population depends on the number N, in millions, of individuals present.The relationship is   . ​
For what population size is the population growing at the fastest rate? Round your answer to two decimal places.

Accepted Answer

A)  1.46 million 
B)  1.09 million 
C)  0.72 million 
D)  0.13 million 
A)  1.46 million 
B)  1.09 million 
C)  0.72 million 
D)  0.13 million

The horizontal asymptote for is given by the equation .

A rational function is one that always produces rational values.

For , what is the minimum value of the cubic function ? Round your answer to two decimal places.

High-degree polynomials may have many zeros.

A rational function is a function for which the horizontal and vertical asymptotes are the same.

The growth rate G, in millions per year, of a certain population depends on the number N, in millions, of individuals present.The relationship is . What is the maximum growth rate of the population? Round your answer to two decimal places.

The growth rate G, in millions per year, of a certain population depends on the number N, in millions, of individuals present.The relationship is . For what population size is the population growing at the fastest rate? Round your answer to two decimal places.

Functions Given by Formulas

Functions Given by TableChas

Functions Given by Graphs

Functions Given by Words

Table and Trends

Graphs

Solving Linear Equations

Solving Nonlinear Equations

Inequalities

Optimization

The Geometry of Lines

Linear Functions

Modeling Data with Linear Functions

Linear Regression

Systems of Equations

Exponential Growth and Decay

Constant Percentage Change

Modeling Exponential Data

Modeling Nearly Exponential Data

Logarithmic Functions

Logistic Functions

Power Functions

Modeling Data with Power Functions

Combining and Decomposing Functions

Quadratic Functions

Velocity

Rates of Change for Other Functions

Estimating Rates of Change

Equations of Change Linear and Exponential Functions

Equations of Change Graphical Solutions

Filters

Exam 26: Higher Degree Polynomials and Rational Functions

The horizontal asymptote for is given by the equation .

A rational function is one that always produces rational values.

For , what is the minimum value of the cubic function ? Round your answer to two decimal places. ​

High-degree polynomials may have many zeros.

A rational function is a function for which the horizontal and vertical asymptotes are the same.

The growth rate G, in millions per year, of a certain population depends on the number N, in millions, of individuals present.The relationship is . ​ What is the maximum growth rate of the population? Round your answer to two decimal places. ​

The growth rate G, in millions per year, of a certain population depends on the number N, in millions, of individuals present.The relationship is . ​ For what population size is the population growing at the fastest rate? Round your answer to two decimal places.

Functions Given by Formulas

Functions Given by TableChas

Functions Given by Graphs

Functions Given by Words

Table and Trends

Graphs

Solving Linear Equations

Solving Nonlinear Equations

Inequalities

Optimization

The Geometry of Lines

Linear Functions

Modeling Data with Linear Functions

Linear Regression

Systems of Equations

Exponential Growth and Decay

Constant Percentage Change

Modeling Exponential Data

Modeling Nearly Exponential Data

Logarithmic Functions

Logistic Functions

Power Functions

Modeling Data with Power Functions

Combining and Decomposing Functions

Quadratic Functions

Velocity

Rates of Change for Other Functions

Estimating Rates of Change

Equations of Change Linear and Exponential Functions

Equations of Change Graphical Solutions

Filters

For , what is the minimum value of the cubic function ? Round your answer to two decimal places.

The growth rate G, in millions per year, of a certain population depends on the number N, in millions, of individuals present.The relationship is . What is the maximum growth rate of the population? Round your answer to two decimal places.

The growth rate G, in millions per year, of a certain population depends on the number N, in millions, of individuals present.The relationship is . For what population size is the population growing at the fastest rate? Round your answer to two decimal places.