Unit 1 Test

Unit 1 Test

11th - 12th Grade

12 Qs

quiz-placeholder

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Unit 1 Test

Unit 1 Test

Assessment

Quiz

Mathematics

11th - 12th Grade

Medium

Created by

Kelcey Lewis-Russell

Used 2+ times

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12 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

For

 x0,x\ge0,  the horizontal line  y=2y=2  is an asymptote for the graph of the function  ff  . Which of the following statements must be true? 

 f(0)=2f\left(0\right)=2  

 f(x)2 f\left(x\right)\ne2\   for all  x0x\ge0  

 f(2)f\left(2\right)  is undefined.

 limx2f(x)=\lim_{x\rightarrow2}f\left(x\right)=\infty  

 limxf(x)=2\lim_{x\rightarrow\infty}f\left(x\right)=2  

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

If the function  ff  is continuous for all real numbers, and if  f(x)=x24x+2f\left(x\right)=\frac{x^2-4}{x+2}  when  x2x\ne-2  , then  f(2)=?f\left(-2\right)=?  

 4-4  

 2-2  

 1-1  

 00  

 22  

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the domain of the function  ff  given by  f(x)=x2 4x3f\left(x\right)=\frac{\sqrt{x^{2\ }-4}}{x-3}  ? 

 {x: x3}\left\{x:\ x\ne3\right\}  

 {x: x2}\left\{x:\ \left|x\right|\le2\right\}  

 {x: x2}\left\{x:\ \left|x\right|\ge2\right\}  

 {x: x2 and x3}\left\{x:\ \left|x\right|\ge2\ and\ x\ne3\right\}  

 {x: x 2 and x3}\left\{x:\ x\ \ge2\ and\ x\ne3\right\}  

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

The graph of which of the following equations has  y=1y=1  as an asymptote? 

 y=lnxy=\ln x  

 y=sinxy=\sin x  

 y=xx+1y=\frac{x}{x+1}  

 y=x2x1y=\frac{x^2}{x-1}  

 y=exy=e^{-x}  

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

The function  ff  is continuous on the closed interval [0,2] and has values that are given in the table below.  The equation  f(x)=12f\left(x\right)=\frac{1}{2}  must have at least 2 solutions in the interval [0, 2] if  kk  equals what? 

 00  

 12\frac{1}{2}  

 11  

 22  

 33  

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find limx0  5x4+8x23x416x2\lim_{x\rightarrow0\ }\ \frac{5x^4+8x^2}{3x^4-16x^2}  

 12-\frac{1}{2}  

 00  

 11  

 53\frac{5}{3}  

nonexistent

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find limx (2x1)(3x)(x1)(x+3)\lim_{x\rightarrow\infty}\ \frac{\left(2x-1\right)\left(3-x\right)}{\left(x-1\right)\left(x+3\right)}  

 3-3  

 2-2  

 22  

 33  

nonexistent

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