Question 1

Choose the graph of the function from the choices below.

$f\left(x\right)=\frac{3x+3}{x^2+x-6}$

Accepted Answer

B

Answer

D

Answer

A

Answer

F

Answer

C

Answer

E

Question 2

Choose the graph of the function from the choices below.

$f\left(x\right)=\frac{3x+3}{x^2+x-6}$

Accepted Answer

C

Answer

D

Answer

B

Answer

E

Answer

A

Answer

F

Question 3

Choose the graph of the function from the choices below.

$f\left(x\right)=\frac{3x+3}{x^2+x-6}$

Accepted Answer

A

Answer

C

Answer

D

Answer

F

Answer

E

Answer

B

Question 4

Choose the graph of the function from the choices below.

$f\left(x\right)=\frac{3x+3}{x^2+x-6}$

Accepted Answer

A

Answer

F

Answer

B

Answer

E

Answer

D

Answer

C

Question 5

Choose the graph of the function from the choices below.

$f\left(x\right)=\frac{3x+3}{x^2+x-6}$

Accepted Answer

E

Answer

A

Answer

D

Answer

F

Answer

B

Answer

C

Question 6

Choose the graph of the function from the choices below.

$f\left(x\right)=\frac{3x+3}{x^2+x-6}$

Accepted Answer

B

Answer

C

Answer

F

Answer

A

Answer

E

Answer

D

Question 7

Choose the graph of the function from the choices below.

$f\left(x\right)=\frac{3x+3}{x^2+x-6}$

Accepted Answer

F

Answer

C

Answer

B

Answer

E

Answer

A

Answer

D

Question 8

A scientist is studying the temperature in a certain region of a remote planet. She approximates the temperature T(x) (in degrees Celsius) in that region x years after the planet's origin to be the following.

$f\left(x\right)=\frac{3x+3}{x^2+x-6}$

Use a graphing calculator to find the value of x (in years) that minimizes the temperature. Round your answers to the nearest hundredth.

Accepted Answer

2.03

Question 9

A scientist is studying the temperature in a certain region of a remote planet. She approximates the temperature T(x) (in degrees Celsius) in that region x years after the planet's origin to be the following.

$f\left(x\right)=\frac{3x+3}{x^2+x-6}$

Use a graphing calculator to find the value of the minimum temperature (in Celsius). Round your answers to the nearest hundredth.

Accepted Answer

-1.67

Question 10

A scientist is studying the temperature in a certain region of a remote planet. She approximates the temperature T(x) (in degrees Celsius) in that region x years after the planet's origin to be the following.

$f\left(x\right)=\frac{3x+3}{x^2+x-6}$

Finish this sentence:

For very large x, the temperature appears to _______.

Accepted Answer

approach a finite value

Answer

undefined

Answer

decrease without bound

Answer

increase without bound

Question 11

A scientist is studying the temperature in a certain region of a remote planet. She approximates the temperature T(x) (in degrees Celsius) in that region x years after the planet's origin to be the following.

$f\left(x\right)=\frac{3x+3}{x^2+x-6}$

Use a graphing calculator to find the value of x (in years) that minimizes the temperature. Round your answers to the nearest hundredth.

Accepted Answer

1.34

Question 12

A scientist is studying the temperature in a certain region of a remote planet. She approximates the temperature T(x) (in degrees Celsius) in that region x years after the planet's origin to be the following.

$f\left(x\right)=\frac{3x+3}{x^2+x-6}$

Use a graphing calculator to find the value of the minimum temperature (in Celsius). Round your answers to the nearest hundredth.

Accepted Answer

-5.34

Question 13

A scientist is studying the temperature in a certain region of a remote planet. She approximates the temperature T(x) (in degrees Celsius) in that region x years after the planet's origin to be the following.

$f\left(x\right)=\frac{3x+3}{x^2+x-6}$

Use a graphing calculator to find the value of the minimum temperature (in Celsius). Round your answers to the nearest hundredth.

Accepted Answer

approach a finite value

Answer

decrease without bound

Answer

undefined

Answer

increase without bound

Question 14

A scientist is studying an object in space. He approximates the density $D\left(x\right)\left(in\ \frac{g}{cm^3}\right)$ of the object x years after its origin by the following equation.

$D\left(x\right)=\frac{x+1}{x^2-x+1}$

Use a graphing calculator to find the value of x that maximizes the density (in years). Round your answers to the nearest hundredth. (If your answer is less than 1, please type it like this with a zero at the beginning of your answer: 0.53.)

Accepted Answer

0.73

Question 15

A scientist is studying an object in space. He approximates the density $D\left(x\right)\left(in\ \frac{g}{cm^3}\right)$ of the object x years after its origin by the following equation.

$D\left(x\right)=\frac{x+1}{x^2-x+1}$

Use a graphing calculator to find the value of the maximum density (in $\frac{g}{cm^3}$ ). Round your answers to the nearest hundredth. (If your answer is less than 1, please type it like this with a zero at the beginning of your answer: 0.53.)

Accepted Answer

2.15

Question 16

A scientist is studying an object in space. He approximates the density $D\left(x\right)\left(in\ \frac{g}{cm^3}\right)$ of the object x years after its origin by the following equation.

$D\left(x\right)=\frac{x+1}{x^2-x+1}$

Complete the following sentence.

For very large x, the density appears to _________.

Accepted Answer

approach a finite value

Answer

decrease without bound

Answer

undecided

Answer

increase without bound

Question 17

The height H(x) (in meters) of an object after x seconds is approximated by the following equation. (A negative height means the object is below sea level.)

$f\left(x\right)=\frac{3x+3}{x^2+x-6}$

Use a graphing calculator to find the value of the time, x, that minimizes the height (in seconds). Round your answers to the nearest hundredth.

Accepted Answer

1.51

Question 18

The height H(x) (in meters) of an object after x seconds is approximated by the following equation. (A negative height means the object is below sea level.)

$f\left(x\right)=\frac{3x+3}{x^2+x-6}$

Use a graphing calculator to find the value of the minimum height (in meters). Round your answers to the nearest hundredth.

Accepted Answer

-4.13

Question 19

The height H(x) (in meters) of an object after x seconds is approximated by the following equation. (A negative height means the object is below sea level.)

$f\left(x\right)=\frac{3x+3}{x^2+x-6}$

Use a graphing calculator to complete the following sentence.

For very large x, the height appears to __________.

Accepted Answer

approach a finite value

Answer

undecided

Answer

increase without bound

Answer

decrease without bound

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