Question 1

Given the graph of $y=f(x)$, which is the graph of $y=|f(x)|$?

Accepted Answer

https://uploads.quizalize.com/bb86786f-f315-408f-9d5e-6fb720176f9f/question/36af8e506f2c57c471b5edd2edc2ca4c5314a79f.png

Answer

https://uploads.quizalize.com/bb86786f-f315-408f-9d5e-6fb720176f9f/question/33f2dc96c057c6ff7679379e4cd1bfa9ec647276.png

Answer

https://uploads.quizalize.com/bb86786f-f315-408f-9d5e-6fb720176f9f/question/39081dda05e8f42ccbd7f411ab02c38e5e8296fa.png

Answer

https://uploads.quizalize.com/bb86786f-f315-408f-9d5e-6fb720176f9f/question/daad4a812eb8eb64f8b3c65616c42cf2ce7a3949.png

Question 2

Which of the following is the graph of: $$y = \left\{
        \begin{array}{ll}
            -x^2+3 & \quad \text{if} \quad x ≤1 \
            -2x+6 & \quad \text{if} \quad x > 2
        \end{array}
    \right.$$

Accepted Answer

https://uploads.quizalize.com/bb86786f-f315-408f-9d5e-6fb720176f9f/question/abef3392ef7d8a3f65a6e45f227619128166b150.png

Answer

https://uploads.quizalize.com/bb86786f-f315-408f-9d5e-6fb720176f9f/question/4f0d21770719d140683ec2a3682e584aff44c2ee.png

Answer

https://uploads.quizalize.com/bb86786f-f315-408f-9d5e-6fb720176f9f/question/632ec5dc89d9090350665d13700ed3951804dd72.png

Answer

https://uploads.quizalize.com/bb86786f-f315-408f-9d5e-6fb720176f9f/question/1780d02ecfd3ce2db235a17759085269dc394835.png

Question 3

Solve: $log_x(14-5x)=2$

Accepted Answer

$x=\{2\}$

Answer

$x=\empty$

Answer

$x=\{2,-7\}$

Answer

$x=\{-7\}$

Question 4

Solve: $|\frac{x}{4}+6|<4$. Give your answer in interval notation.

Accepted Answer

$x\in(8,40)$

Answer

$x\in(-40,40)$

Answer

$x\in(-\infty,8)\cup(40,\infty)$

Answer

$x\in(-\infty,-40)\cup(40,\infty)$

Question 5

Which of the following is NOT an ordered pair on the graph of $y=\log x$?

Accepted Answer

$(1,10)$

Answer

$(0.1,-1)$

Answer

$(1,0)$

Answer

$(10,1)$

Question 6

Solve the equation: $\log_4256=3x-1$

Accepted Answer

$x=\frac{5}{3}$

Answer

$x=\frac{3}{4}$

Answer

$x=\frac{4}{3}$

Answer

$x=\frac{3}{5}$

Question 7

Find all zeros of the function $P(x)=2x^3-5x^2-4x+3$

Accepted Answer

$x=\{-1,\frac{1}{2},3\}$

Answer

$x=\{\frac{1}{2},3\}$

Answer

$x=\{-3,-\frac{1}{2},1\}$

Answer

$x=\{-1,3\}$

Question 8

Let $f(x)=x^5-5x^3+x^2-6x+1$. Use synthetic division to determine $f(-3)$.

Accepted Answer

$f(-3)=-80$

Answer

$f(-3)=244$

Answer

$f(-3)=-62$

Answer

$f(-3)=100$

Question 9

Find the equation of the function $f$ such that $f(1)=f(-2)=0$ and $f(0)=7$

Accepted Answer

$f(x)=-\frac{2}{7}x^2-\frac{2}{7}x+7$

Answer

$f(x)=x^2+x-2$

Answer

$f(x)=\frac{2}{7}x^2+\frac{2}{7}x+7$

Answer

$f(x)=x^2+x+7$

Question 10

Use the remainder theorem to determine the remainder when $5x^3+2x^2-15x+7$ is divided by $x+1$. Do not use long or synthetic division.

Accepted Answer

The remainder is $19$

Answer

The remainder is $-1$

Answer

The remainder is $29$

Answer

The remainder is $-11$

Question 11

Given the graph of $f(x)$ as shown, over which of the following intervals is the function continuous?

Accepted Answer

$x\in(-2,2]$

Answer

$x\in[-2,2]$

Answer

$x\in[2,\infty)$

Answer

$x\in(-\infty,\infty)$

Question 12

Given the graph of $f(x)$ as shown, over which of the following intervals is the function NOT continuous?

Accepted Answer

$x\in(-\infty,\infty)$

Answer

$x\in(-\infty,-2]$

Answer

$x\in(2,\infty)$

Answer

$x\in(-2,2]$

Question 13

Given the graph of $f(x)$ as shown, evaluate: $$ \lim_{x\to-2^+} f(x) $$.

Accepted Answer

$-3$

Answer

$2$

Answer

$-2$

Answer

$1$

Question 14

Given the graph of $f(x)$ as shown, evaluate: $$ \lim_{x\to-2^-} f(x) $$.

Accepted Answer

$2$

Answer

$-2$

Answer

$-3$

Answer

$1$

Question 15

Given the graph of $f(x)$ as shown, evaluate: $$ \lim_{x\to2^+} f(x) $$.

Accepted Answer

$-2$

Answer

$1$

Answer

$2$

Answer

$-3$

Question 16

Given the graph of $f(x)$ as shown, evaluate: $$ \lim_{x\to2^-} f(x) $$.

Accepted Answer

$1$

Answer

$2$

Answer

$-3$

Answer

$-2$

Question 17

Using one or more of the sum or difference identities, determine the exact value of $\sin(-15˚)$

Accepted Answer

$\sin(-15˚)=\frac{\sqrt2-\sqrt{6}}{4}$

Answer

$\sin(-15˚)=\frac{\sqrt2+\sqrt{6}}{4}$

Answer

$\sin(-15˚)=\frac{\sqrt2-\sqrt{6}}{2}$

Answer

$\sin(-15˚)=\frac{\sqrt2+\sqrt{6}}{2}$

Question 18

Using one or more of the sum or difference identities, determine the exact value of $\tan(75˚)$

Accepted Answer

$\tan(75˚)=2+\sqrt{3}$

Answer

$\tan(75˚)=12-6\sqrt{3}$

Answer

$\tan(75˚)=12+6\sqrt{3}$

Answer

$\tan(75˚)=2-\sqrt{3}$

Question 19

The area of a particular rectangle is 12 times the area of a certain square, and the width of the rectangle is three times the length of a side of the square. The perimeter of the rectangle is 30 units greater than the perimeter of the square. Give the length of one side of the square.

Accepted Answer

3 units

Answer

5 units

Answer

4 units

Answer

2 units

Question 20

Two vehicles leave an intersection at the same time. One vehicle travels due north at 30 mph and the other travels due east at 40 mph. Find the straight-line distance between the vehicles two hours after they leave the intersection.

Accepted Answer

100 miles

Answer

50 miles

Answer

70 miles

Answer

140 miles

Question 21

The number of gumballs varies inversely as the square of the number of skittles left. If there were $8$ gumballs when there were $5$ skittles present, how many gumballs would there be if there were $2$ skittles present?

Accepted Answer

$50$ gumballs

Answer

$20$ gumballs

Answer

$4\sqrt{10}$ gumballs

Answer

$\frac{32}{25}$ gumballs

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