Question 1

To keep track of his profi ts, the owner of a carnival booth decided computations. to model his ticket sales on a graph. He found that his profi ts only declined when he sold between 10 and 40 tickets. Which graph could represent his profi ts?

Accepted Answer

https://uploads.quizalize.com/da51e51e-b600-3269-6a06-763a53dbb96d/question/ba48d560-5611-33a1-1847-3c26ad07ae69.png

Answer

https://uploads.quizalize.com/da51e51e-b600-3269-6a06-763a53dbb96d/question/bfd8bffe-5740-1333-0a52-3945a544e808.png

Answer

https://uploads.quizalize.com/da51e51e-b600-3269-6a06-763a53dbb96d/question/e650a746-645f-6a2a-6dd4-614331fbca6c.png

Answer

https://uploads.quizalize.com/da51e51e-b600-3269-6a06-763a53dbb96d/question/deabf1f0-57e1-e450-3e83-ed417ac61dba.png

Question 2

Lynn, Jude, and Anne were given the function $f(x)=-2x^2+32$, and they were asked to find $f(3)$.  Lynn's answer was 14, Jude's answer was 4, and Anne's answer was  $\pm4$. Who is correct?

Accepted Answer

Lynn, only

Answer

Jude, only

Answer

Anne, only

Answer

Both Lynn and Jude

Question 3

This mapping is

Accepted Answer

not a function, because Feb has two outputs, 28 and 29

Answer

not a function, because two inputs, Jan and Mar, result in the output 31

Answer

a function, because two inputs, Jan and Mar, result in the output 31

Answer

a function, because Feb has two outputs, 28 and 29

Question 4

The graph of a quadratic function is shown below.
An equation that represents the function could be

Accepted Answer

$q(x)=-\frac{1}{2}(x-15)^2+25$

Answer

$q(x)=-\frac{1}{2}(x+15)^2-25$

Answer

$q(x)=\frac{1}{2}(x-15)^2+25$

Answer

$q(x)=\frac{1}{2}(x+15)^2-25$

Question 5

Which statement is true about the quadratic functions $g(x)$, shown in computations. the table below, and $f(x)=(x-3)^2+2?$

Accepted Answer

They have the same axis of symmetry.

Answer

They have the same vertex.

Answer

They have the same zeros.

Answer

They intersect at two points.

Question 6

Given the function $f(n)$ defined by the following:
$f(1)=2$
$f(n)=-5(n-1)+2$
Which set could represent the range of the function?

Accepted Answer

2, -8, 42, -208,…}

Answer

{-8, -42, -208, 1042,…}

Answer

{-10, 50, -250, 1250,…}

Answer

{2, 4, 6, 8,…}

Question 7

Morgan throws a ball up into the air. The height of the ball above the ground, in feet, is modeled by the function $h(t)=-16t^2+24t$, where $t$ represents the time, in seconds, since the ball was thrown. What is the appropriate domain for this situation?

Accepted Answer

$0\le t\le1.5$

Answer

$0\le t\le9$

Answer

$0\le h(t)\le1.5$

Answer

$0\le h(t)\le9$

Question 8

If $k(x)=2x^2-3 \sqrt{x}$, then $k(9)$ is

Accepted Answer

153

Answer

315

Answer

307

Answer

159

Question 9

A function is defined as {(0,1), (2,3), (5,8), (7,2)}. Isaac is asked to create one more ordered pair for the function. Which ordered pair can he add to the set to keep it a function?

Accepted Answer

(1,3)

Answer

(7,0)

Answer

(5,3)

Answer

(0,2)

Question 10

Which of the quadratic functions below has the $smallest$ minimum value?

Accepted Answer

https://uploads.quizalize.com/55740e2b-5504-a08d-a41c-54460b514872/question/c6eee53c-0d31-9b0c-d107-84d61ba29b35.png

Answer

https://uploads.quizalize.com/55740e2b-5504-a08d-a41c-54460b514872/question/d7f3bb07-7fba-bb83-f532-dea403ce020e.png

Answer

https://uploads.quizalize.com/55740e2b-5504-a08d-a41c-54460b514872/question/5310ef73-d336-7152-a83f-2649ee5a2661.png

Answer

https://uploads.quizalize.com/55740e2b-5504-a08d-a41c-54460b514872/question/90e38868-b10b-9168-1d8a-8f58092788d0.png

Question 11

If $f(x)=x^2+2,$ which interval describes the range of this function?

Accepted Answer

$[2,\infty)$

Answer

$[-\infty,2)$

Answer

$[0,\infty)$

Answer

$(-\infty,\infty)$

Question 12

Which graph does $not$ represent a function that is always increasing over the entire interval $-2 < x < 2$?

Accepted Answer

https://uploads.quizalize.com/55740e2b-5504-a08d-a41c-54460b514872/question/1edbcba8-ab6c-084c-bad1-d85fe4f8a209.png

Answer

https://uploads.quizalize.com/55740e2b-5504-a08d-a41c-54460b514872/question/68c25b18-0fa1-288c-d886-006859ebe70c.png

Answer

https://uploads.quizalize.com/55740e2b-5504-a08d-a41c-54460b514872/question/dd393961-de24-59f6-8237-61c4e4cd90ec.png

Answer

https://uploads.quizalize.com/55740e2b-5504-a08d-a41c-54460b514872/question/7db8eb4d-4209-9c8b-13f3-241f679bbcad.png

Question 13

At an ice cream shop, the profit, $P(c)$,  is modeled by the function $P(c)=0.87_c$, where $c$ represents the number of ice cream cones sold. An appropriate domain for this function is

Accepted Answer

an integer $\ge0$

Answer

an integer $\le0$

Answer

a rational number  $\le0$

Answer

a rational number  $\ge0$

Question 14

If $a_n=n(a_{n-1})$ and $a_1=1$, what is the value of $a_5$?

Accepted Answer

120

Answer

5

Answer

20

Answer

720

Question 15

The function $g(x)$  is defined as $g(x)=-2x^2+3x.$ The value of  $g(-3)$ is

Accepted Answer

$-27$

Answer

$-9$

Answer

$27$

Answer

$45$

Question 16

Britney is solving a quadratic equation. Her first step is shown below.
Problem: $3x^2-8-10x=3(2x+3)$
Step 1: $3x^2-10x-8=6x+9$
Which two properties did Britney use to get to step 1?
I. addition property of equality
II. commutative property of addition
III. multiplication property of equality
IV. distributive property of multiplication over addition

Accepted Answer

II and IV

Answer

I and III

Answer

I and IV

Answer

II and III

Question 17

The function $f(x)=2x^2+6x-12$ has a domain consisting of the integers from $-2$ to $1$ inclusive. Which set represents the corresponding range values for $f(x)?$

Accepted Answer

${-16,-12,-4}$

Answer

${-32,-20,-12,-4}$

Answer

${-16,-4}$

Answer

${-32,-4}$

Question 18

The function $f(x)$ is graphed below.
The domain of this function is

Accepted Answer

$x\ge-1$

Answer

all positive integers

Answer

$x\ge0$

Answer

all positive real numbers

Question 19

Which function could be used to represent the sequence 8, 20, 50, 125, 312.5,..., given that $a_1=8$

Accepted Answer

$a_n=2.5(a_n-1)$

Answer

$a_n=a_1+1.5(a_n-1)$

Answer

$a_n=a_n-1+a_1$

Answer

$a_n=(a_1)(a_n-1)$

Question 20

The functions $f(x),q(x),$ and $p(x)$ are shown below.

When the input is 4, which functions have the same output value?

Accepted Answer

$f(x)$, $q(x)$, and $p(x)$

Answer

$f(x)$ and $p(x)$, only

Answer

$q(x)$ and $p(x)$, only

Answer

$f(x)$ and $q(x)$, only

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