Deck 26: Higher Degree Polynomials and Rational Functions

Question 1

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

Answer 1

True

Question 2

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

Answer 2

False

Question 3

What is the horizontal asymptote of the function ? ​

A)
B)
C)
D)

Answer 3

Question 4

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

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

Question 5

High-degree polynomials may have many zeros.

Question 6

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

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

Question 7

A rational function is one that always produces rational values.

Question 8

A quadratic function has the form .

Question 9

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

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

Question 10

A quadratic function is also a polynomial function.

Question 11

A quadratic function always has a limiting value.

Question 12

A rational function is a quotient of polynomial functions.

Question 13

The horizontal asymptote for is given by the equation .

Question 14

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

Question 15

The graph of a quadratic function is a parabola.

Question 16

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. ​

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

Question 17

What is the vertical asymptote of the function ? ​

A)
B)
C)
D)

Question 18

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

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

Question 19

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

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

Question 20

A quartic function may have more than one maximum.

Question 21

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.
​

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 22

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

A)
B) ​
C) ​
D) ​

Question 23

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.
​

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

Question 24

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.
​

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

Question 25

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.
​

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

Question 26

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.

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

Question 27

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

A)
B) ​
C) ​
D) ​