Question 1

The expression $w^4-36$ is equivalent to

Accepted Answer

$(w^2+6)(w^2-6)$

Answer

$(w^2+6)(w^2-6)$

Answer

$(w^2+6)(w^2-6)$

Answer

$(w^2+6)(w^2-6)$

Question 2

If $w^4-36$ , what is the value of $f(-3)$ ?

Accepted Answer

$(w^2+6)(w^2-6)$

Answer

$(w^2+6)(w^2-6)$

Answer

$(w^2+6)(w^2-6)$

Answer

$(w^2+6)(w^2-6)$

Question 3

Which relation is not a function?

Accepted Answer

https://uploads.quizalize.com/4e9eb569-ae1c-4578-b277-32db56dae4c5/question/d33fe51c18fc57028130b011480ebae78c611588.png

Answer

https://uploads.quizalize.com/4e9eb569-ae1c-4578-b277-32db56dae4c5/question/cb9e380a215b86a3b4570e92f0060f6718e1265d.png

Answer

https://uploads.quizalize.com/4e9eb569-ae1c-4578-b277-32db56dae4c5/question/4d981eeb58fa5386ae629c437ef5a06ca76d764b.png

Answer

$(w^2+6)(w^2-6)$

Question 4

Given: $w^4-36$

$f(-3)$

When compared to the graph of $f(x)$ , the graph of $g(x)$ is

Accepted Answer

shifted $w^4-36$ units to the right

Answer

shifted $w^4-36$ units to the left

Answer

shifted $w^4-36$ units to the right

Answer

shifted $w^4-36$ units to the left

Question 5

Students were asked to write $w^4-36$ in standard form. Shown below are four student responses.

Anne: $7x^7+6x^5-3x^3+8x$

Bob: $g(x)$

Carrie: $8x+7x^7+6x^5-3x^3$

Dylan: $8x-3x^3+6x^5+7x^7$

Which student is correct?

Accepted Answer

Anne

Answer

Bob

Answer

Dylan

Answer

Carrie

Question 6

The function $w^4-36$ is shown in the table below.

Which type of function best models the given data?

Accepted Answer

exponential growth function

Answer

linear function with positive rate of change

Answer

exponential decay function

Answer

linear function with negative rate of change

Question 7

Which expression results in a rational number?

Accepted Answer

$(w^2+6)(w^2-6)$

Answer

$(w^2+6)(w^2-6)$

Answer

$(w^2+6)(w^2-6)$

Answer

$(w^2+6)(w^2-6)$

Question 8

A polynomial function is graphed below.

Which function could represent this graph?

Accepted Answer

$(w^2+6)(w^2-6)$

Answer

$(w^2+6)(w^2-6)$

Answer

$(w^2+6)(w^2-6)$

Answer

$(w^2+6)(w^2-6)$

Question 9

When solving $w^4-36$ , Kate wrote $f(-3)$ . The property she used is

Accepted Answer

the addition property of equality

Answer

the associative property

Answer

the commutative property

Answer

the distributive property

Question 10

David wanted to go on an amusement park ride. A sign posted at the entrance read “You must be greater than 42 inches tall and no more than 57 inches tall for this ride.” Which inequality would model the height, $w^4-36$ x, required for this amusement park ride?

Accepted Answer

$(w^2+6)(w^2-6)$

Answer

$(w^2+6)(w^2-6)$ $x$ $f(-3)$

Answer

$(w^2+6)(w^2-6)$ $x\ or\ x$ $\ge57$

Answer

$(w^2+6)(w^2-6)$ $x$ $f(-3)$

Question 11

Which situation can be modeled by a linear function?

Accepted Answer

An amusement park allows $w^4-36$ people to enter every $f(-3)$ minutes.

Answer

A baseball tournament eliminates half of the teams after each round.

Answer

The population of bacteria triples every day.

Answer

The value of a cell phone depreciates at a rate of $w^4-36$ each year.

Question 12

Jenna took a survey of her senior class to see whether they preferred pizza or burgers. The results are summarized in the table below.

Of the people who preferred burgers, approximately what percentage were female?

Accepted Answer

$(w^2+6)(w^2-6)$

Answer

$(w^2+6)(w^2-6)$

Answer

$(w^2+6)(w^2-6)$

Answer

$(w^2+6)(w^2-6)$

Question 13

When $w^4-36$ is solved for $f(-3)$ , the result is

Accepted Answer

$(w^2+6)(w^2-6)$

Answer

$(w^2+6)(w^2-6)$

Answer

$(w^2+6)(w^2-6)$

Answer

$(w^2+6)(w^2-6)$

Question 14

Three functions are shown below.

A: $x\ or\ x$

B: $7x^7+6x^5-3x^3+8x$

Which statement is true?

Accepted Answer

B has a minimum and C has a maximum.

Answer

C has a maximum and A has a minimum.

Answer

A and B have the same $w^4-36$ -intercept.

Answer

B and C have the same zeros

Question 15

Nicci’s sister is $w^4-36$ years less than twice Nicci’s age, $f(-3)$ . The sum of Nicci’s age and her sister’s age is $7x^7+6x^5-3x^3+8x$ . Which equation represents this relationship?

Accepted Answer

$(w^2+6)(w^2-6)$

Answer

$(w^2+6)(w^2-6)$

Answer

$(w^2+6)(w^2-6)$

Answer

$(w^2+6)(w^2-6)$

Question 16

The population of a small town over four years is recorded in the chart below, where $w^4-36$ is represented by $f(-3)$ . [Population is rounded to the nearest person]

The population, $P(x)$ , for these years can be modeled by the function $P(x)=ab^x$ , where $8x+7x^7+6x^5-3x^3$ is rounded to the nearest thousandth. Which statements about this function are true?

$I.\ a=3810$

$II.\ a=4224$

$III.\ b=0.035$

$IV.b=1.035$

Accepted Answer

I and IV

Answer

II and IV

Answer

II and III

Answer

I and III

Question 17

When written in factored form, $w^4-36$ is equivalent to

Accepted Answer

$(w^2+6)(w^2-6)$

Answer

$(w^2+6)(w^2-6)$

Answer

$(w^2+6)(w^2-6)$

Answer

$(w^2+6)(w^2-6)$

Question 18

Which ordered pair does not represent a point on the graph of $f(-3)$ ?

Accepted Answer

$(w^2+6)(w^2-6)$

Answer

$(w^2+6)(w^2-6)$

Answer

$(w^2+6)(w^2-6)$

Answer

$(w^2+6)(w^2-6)$

Question 19

Given the following three sequences:

$x$

$II.\ \ 2,4,8,16,32...$

$f(x)$

Which ones are arithmetic sequences?

Accepted Answer

I and III, only

Answer

I and II, only

Answer

II and III, only

Answer

I, II, and III

Question 20

A grocery store sells packages of beef. The function $w^4-36$ represents the cost, in dollars, of a package of beef weighing $f(-3)$ pounds. The most appropriate domain for this function would be

Accepted Answer

positive rational numbers

Answer

integers

Answer

positive integers

Answer

rational numbers

Question 21

The roots of $w^4-36$ are

Accepted Answer

$(w^2+6)(w^2-6)$

Answer

$(w^2+6)(w^2-6)$

Answer

$(w^2+6)(w^2-6)$

Answer

$(w^2+6)(w^2-6)$

Question 22

The following table shows the heights, in inches, of the players on the opening-night roster of the $w^4-36$ New York Knicks.

The population standard deviation of these data is approximately

Accepted Answer

$(w^2+6)(w^2-6)$

Answer

$(w^2+6)(w^2-6)$

Answer

$(w^2+6)(w^2-6)$

Answer

$(w^2+6)(w^2-6)$

Question 23

A population of bacteria can be modeled by the function $w^4-36$ , where $f(-3)$ represents the time since the population started decaying, and $7x^7+6x^5-3x^3+8x$ represents the population of the remaining bacteria at time $t$ . What is the rate of decay for this population?

Accepted Answer

$(w^2+6)(w^2-6)$

Answer

$(w^2+6)(w^2-6)$

Answer

$(w^2+6)(w^2-6)$

Answer

$(w^2+6)(w^2-6)$

Question 24

Bamboo plants can grow $w^4-36$ centimeters per day. What is the approximate growth of the plant, in inches per hour?

Accepted Answer

$(w^2+6)(w^2-6)$

Answer

$(w^2+6)(w^2-6)$

Answer

$(w^2+6)(w^2-6)$

Answer

$(w^2+6)(w^2-6)$

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