Question 1

What value of ​x gives the minimum value of the quadratic function   ? Round your answer to two decimal places. ​

Accepted Answer

A)  0.63 
B)  1.29 
C)  3.44 
D)  3.51 
A)  0.63 
B)  1.29 
C)  3.44 
D)  3.51 A

Question 2

A ball is tossed upward from the ground.The height H, in feet, of the ball after t seconds is given by   . ​
What is the maximum height reached by the ball? Round your answer to two decimal places, if necessary.
​

Accepted Answer

A)  2.45 feet 
B)  66.71 feet 
C)  2.03 feet 
D)  66.02 feet 
A)  2.45 feet 
B)  66.71 feet 
C)  2.03 feet 
D)  66.02 feet D

Question 3

What value of x gives the maximum value of the quadratic function   ? Round your answer to two decimal places. ​

Accepted Answer

A)  0.70 
B)  5.45 
C)  1.26 
D)  5.78 
A)  0.70 
B)  5.45 
C)  1.26 
D)  5.78 A

Question 4

What is the vertical asymptote of the function   ? ​

Accepted Answer

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

Question 5

The graph of a quadratic function is a parabola.

Accepted Answer

A) True 
 B)False

Question 6

A cubic function may have both a maximum and a minimum.

Accepted Answer

A) True 
 B)False

Question 7

A rational function is a quotient of polynomial functions.

Accepted Answer

A) True 
 B)False

Question 8

What value of x gives the minimum value of the quadratic function   ? Round your answer to two decimal places. ​

Accepted Answer

A)  2.66 
B)  2.44 
C)  1.27 
D)  0.38 
A)  2.66 
B)  2.44 
C)  1.27 
D)  0.38

Question 9

A quadratic function always has a limiting value.

Accepted Answer

A) True 
 B)False

Question 10

What is the horizontal asymptote of the function   ? ​

Accepted Answer

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

Question 11

A quadratic function is also a polynomial function.

Accepted Answer

A) True 
 B)False

Question 12

The amount C, in pounds, of food consumed in a day by a certain grazing animal depends on the amount V, in pounds per acre, of vegetation available.The relationship is given by the rational function   What is the most the animal will consume in a day no matter how much vegetation is available? Round your answer to two decimal places, if necessary. ​

Accepted Answer

A)  4 pounds 
B)  55 pounds 
C)  0.07 pounds 
D)  13.75 pounds 
A)  4 pounds 
B)  55 pounds 
C)  0.07 pounds 
D)  13.75 pounds

Question 13

A quadratic function has the form   .

Accepted Answer

A) True 
 B)False

Question 14

Use the quadratic formula to write the solution of the quadratic equation   . ​

Accepted Answer

A)    
B)  ​   
C)  ​   
D)  ​   
A)    
B)  ​   
C)  ​   
D)  ​

Question 15

A quartic function may have more than one maximum.

Accepted Answer

A) True 
 B)False

Question 16

The average number N of prey that certain predators will consume depends on the density D, in number per square foot, of the prey.The relationship is   . ​
What is the largest average number of prey that predators will consume no matter what the density of the prey is? Round your answer to two decimal places, if necessary.
​

Accepted Answer

A)  2 
B)  6 
C)  3.00 
D)  None of the above 
A)  2 
B)  6 
C)  3.00 
D)  None of the above

Question 17

The limiting value of a rational function can be used to find a horizontal asymptote.

Accepted Answer

A) True 
 B)False

Question 18

A ball is tossed upward from the ground.The height H, in feet, of the ball after t seconds is given by   . ​
How long after the ball is tossed will it reach its maximum height? Round your answer to two decimal places.
​

Accepted Answer

A)  3.76 seconds 
B)  130.09 seconds 
C)  2.84 seconds 
D)  129.39 seconds 
A)  3.76 seconds 
B)  130.09 seconds 
C)  2.84 seconds 
D)  129.39 seconds

Question 19

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

Accepted Answer

A)  0.65 
B)  1.85 
C)  0 
D)  4.00 
A)  0.65 
B)  1.85 
C)  0 
D)  4.00

Question 20

Use the quadratic formula to write the solution of the quadratic equation   . ​

Accepted Answer

A)    
B)  ​   
C)  ​   
D)  ​   
A)    
B)  ​   
C)  ​   
D)  ​

Exam 26: Higher Degree Polynomials and Rational Functions

What value of ​x gives the minimum value of the quadratic function ? Round your answer to two decimal places. ​

A ball is tossed upward from the ground.The height H, in feet, of the ball after t seconds is given by . ​ What is the maximum height reached by the ball? Round your answer to two decimal places, if necessary. ​

What value of x gives the maximum value of the quadratic function ? Round your answer to two decimal places. ​

What is the vertical asymptote of the function ? ​

The graph of a quadratic function is a parabola.

A cubic function may have both a maximum and a minimum.

A rational function is a quotient of polynomial functions.

What value of x gives the minimum value of the quadratic function ? Round your answer to two decimal places. ​

A quadratic function always has a limiting value.

What is the horizontal asymptote of the function ? ​

A quadratic function is also a polynomial function.

A quadratic function has the form .

Use the quadratic formula to write the solution of the quadratic equation . ​

A quartic function may have more than one maximum.

The limiting value of a rational function can be used to find a horizontal asymptote.

A ball is tossed upward from the ground.The height H, in feet, of the ball after t seconds is given by . ​ How long after the ball is tossed will it reach its maximum height? Round your answer to two decimal places. ​

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

Use the quadratic formula to write the solution of the quadratic equation . ​

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

What value of x gives the minimum value of the quadratic function ? Round your answer to two decimal places.

A ball is tossed upward from the ground.The height H, in feet, of the ball after t seconds is given by . What is the maximum height reached by the ball? Round your answer to two decimal places, if necessary.

What value of x gives the maximum value of the quadratic function ? Round your answer to two decimal places.

What is the vertical asymptote of the function ?

What value of x gives the minimum value of the quadratic function ? Round your answer to two decimal places.

What is the horizontal asymptote of the function ?

Use the quadratic formula to write the solution of the quadratic equation .

A ball is tossed upward from the ground.The height H, in feet, of the ball after t seconds is given by . How long after the ball is tossed will it reach its maximum height? Round your answer to two decimal places.

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

Use the quadratic formula to write the solution of the quadratic equation .