Question 1

The graph of the function $p\left(x\right)$ is sketched below.

Which equation could represent $p\left(x\right)$ ?

Accepted Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Question 2

What is the solution to $p\left(x\right)$ ?

Accepted Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Question 3

Cheap and Fast gas station is conducting a consumer satisfaction survey. Which method of collecting data would most likely lead to a biased sample?

Accepted Answer

interviewing customers who call an $p\left(x\right)$ number posted on the customers’ receipts

Answer

interviewing customers chosen at random by a computer at the checkout

Answer

interviewing every customer who comes into the station on a day of the week chosen at random out of a hat

Answer

interviewing every $p\left(x\right)$ th customer to come into the station

Question 4

The expression $p\left(x\right)$ is equivalent to

Accepted Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Question 5

If $p\left(x\right)$ and $g\left(x\right)=0.03x^3-x+1$ , an approximate solution for the equation $f\left(x\right)=g\left(x\right)$ is

Accepted Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Question 6

Given the parent function $p\left(x\right)$ , which phrase best describes the transformation used to obtain the graph of $g\left(x\right)=0.03x^3-x+1$ , if $f\left(x\right)=g\left(x\right)$ and $b$ are positive constants?

Accepted Answer

left $p\left(x\right)$ units, down $g\left(x\right)=0.03x^3-x+1$ units

Answer

left $p\left(x\right)$ units, up $g\left(x\right)=0.03x^3-x+1$ units

Answer

right $p\left(x\right)$ units, down $g\left(x\right)=0.03x^3-x+1$ units

Answer

right $p\left(x\right)$ units, up $g\left(x\right)=0.03x^3-x+1$ units

Question 7

The solution to the equation $p\left(x\right)$ is

Accepted Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Question 8

Which equation is represented by the graph shown below?

Accepted Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Question 9

A manufacturing company has developed a cost model, $p\left(x\right)$ , where $g\left(x\right)=0.03x^3-x+1$ is the number of items sold, in thousands. The sales price can be modeled by $f\left(x\right)=g\left(x\right)$ . Therefore, revenue is modeled by $b$ .

The company’s profit, $P\left(x\right)=R\left(x\right)-C\left(x\right)$ , could be modeled by

Accepted Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Question 10

A game spinner is divided into $p\left(x\right)$ equally sized regions, as shown in the diagram below.

For Miles to win, the spinner must land on the number $p\left(x\right)$ . After spinning the spinner $10$ times, and losing all $10$ times, Miles complained that the spinner is unfair. At home, his dad ran $P\left(x\right)=R\left(x\right)-C\left(x\right)$ simulations of spinning the spinner $10$ times, assuming the probability of winning each spin is $\frac{1}{6}$ . The output of the simulation is shown in the diagram below.

Which explanation is appropriate for Miles and his dad to make?

Accepted Answer

The spinner was likely not unfair, since the number $p\left(x\right)$ failed to occur in about $g\left(x\right)=0.03x^3-x+1$ of the simulations.

Answer

The spinner was likely unfair, since the number $p\left(x\right)$ failed to occur in about $g\left(x\right)=0.03x^3-x+1$ of the simulations.

Answer

The spinner was likely not unfair, since in the output the player wins once or twice in the majority of the simulations.

Answer

The spinner was likely unfair, since the spinner should have landed on the number $p\left(x\right)$ by the sixth spin.

Question 11

Which binomial is a factor of $p\left(x\right)$ ?

Accepted Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Question 12

Given that $p\left(x\right)$ and $g\left(x\right)=0.03x^3-x+1$ , what is a possible value of $f\left(x\right)=g\left(x\right)$ ?

Accepted Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Question 13

A student studying public policy created a model for the population of Detroit, where the population decreased $p\left(x\right)$ over a decade. He used the model $g\left(x\right)=0.03x^3-x+1$ , where $f\left(x\right)=g\left(x\right)$ is the population, in thousands, $b$ decades after $2010$ . Another student, Suzanne, wants to use a model that would predict the population after $y\$ years. Suzanne’s model is best represented by

Accepted Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Question 14

The probability that Gary and Jane have a child with blue eyes is $p\left(x\right)$ , and the probability that they have a child with blond hair is $g\left(x\right)=0.03x^3-x+1$ . The probability that they have a child with both blue eyes and blond hair is $f\left(x\right)=g\left(x\right)$ . Given this information, the events blue eyes and blond hair are

$I.$ dependent

$P\left(x\right)=R\left(x\right)-C\left(x\right)$ independent

$III.$ mutually exclusive

Accepted Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$ , only

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$ and $III$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$ and $III$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$ , only

Question 15

Based on climate data that have been collected in Bar Harbor, Maine, the average monthly temperature, in degrees $p\left(x\right)$ , can be modeled by the equation $g\left(x\right)=0.03x^3-x+1$ . The same governmental agency collected average monthly temperature data for Phoenix, Arizona, and found the temperatures could be modeled by the equation $f\left(x\right)=g\left(x\right)$ .

Which statement can not be concluded based on the average monthly temperature models $P\left(x\right)=R\left(x\right)-C\left(x\right)$ months after starting data collection?

Accepted Answer

The minimum average monthly temperature for Phoenix is $p\left(x\right)$ , to the nearest degree.

Answer

The maximum average monthly temperature for Bar Harbor is $p\left(x\right)$ , to the nearest degree.

Answer

The average monthly temperature variation is more in Bar Harbor than in Phoenix.

Answer

The midline average monthly temperature for Bar Harbor is lower than the midline temperature for Phoenix.

Question 16

For $p\left(x\right)$ , which expressions are equivalent to one divided by the sixth root of $g\left(x\right)=0.03x^3-x+1$ ?

$I.\ \frac{\sqrt[6]{x}}{\sqrt[3]{x}}$ $I.$ $III.\ x^{-\frac{1}{6}}$

Accepted Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$ , $III$ , and $p\left(x\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$ and $III$ , only

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$ and $III$ , only

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$ and $III$ , only

Question 17

A parabola has its focus at $p\left(x\right)$ and its directrix is $g\left(x\right)=0.03x^3-x+1$ . The equation of this parabola could be

Accepted Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Question 18

The function $p\left(x\right)$ models the population of a city, in millions, $g\left(x\right)=0.03x^3-x+1$ years after $f\left(x\right)=g\left(x\right)$ . As of today, consider the following two statements:

$I.$ . The current population is $III.\ x^{-\frac{1}{6}}$ million.

$10$ . The population increases continuously by approximately $\frac{1}{6}$ per year.

This model supports

Accepted Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$ , only

Answer

both $p\left(x\right)$ and $g\left(x\right)=0.03x^3-x+1$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$ , only

Answer

neither $p\left(x\right)$ nor $g\left(x\right)=0.03x^3-x+1$

Question 19

To solve , $p\left(x\right)$ , Ren multiplied both sides by the least common denominator. Which statement is true?

Accepted Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$ is an extraneous solution.

Answer

This equation does not contain any extraneous solutions.

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$ and $III$ are extraneous solutions

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$ is an extraneous solution.

Question 20

Given $p\left(x\right)$ , which function can be used to generate the sequence $g\left(x\right)=0.03x^3-x+1$ ?

Accepted Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Question 21

The function $p\left(x\right)$ represents a damped sound wave function. What is the average rate of change for this function on the interval $g\left(x\right)=0.03x^3-x+1$ , to the nearest hundredth?

Accepted Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Question 22

Mallory wants to buy a new window air conditioning unit. The cost for the unit is $p\left(x\right)$ . If she plans to run the unit three months out of the year for an annual operating cost of $g\left(x\right)=0.03x^3-x+1$ , which function models the cost per year over the lifetime of the unit, $f\left(x\right)=g\left(x\right)$ , in terms of the number of years, $b$ , that she owns the air conditioner?

Accepted Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Question 23

The expression $p\left(x\right)$ can be rewritten as

Accepted Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Question 24

Jasmine decides to put $p\left(x\right)$ in a savings account each month. The account pays $g\left(x\right)=0.03x^3-x+1$ annual interest, compounded monthly. How much money, $f\left(x\right)=g\left(x\right)$ , will Jasmine have after one year?

Accepted Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

Answer

$p\left(x\right)=\left(x^2\ -9\right)\left(x-2\right)$

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