Unit 1 Review - Algebra 2 Review

Identify the transformations of the equation:

 $f\left(x\right)=2\sqrt{x-3}+5$  

• Vertical Shrink, Left 3, Up 5

• Vertical Stretch, Left 3, Up 5

• Vertical Shrink, Right 3, Up 5

• Vertical Stretch, Right 3, Up 5

Tags

CCSS.HSF.BF.B.3

Solving algebraically, find the zeros of the following function:
 $f\left(x\right)=2x^2+x-6$  

•  $x=\frac{3}{2}\ and\ -2$  

•  $x=-\frac{3}{2}\ and\ 2$  

•  $x=3\ and\ -4$  

•  $x=-3\ and\ 4$  

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

State the domain for the following function:
 $\left\{\left(1,3\right),\ \left(2,7\right),\ \left(3,10\right),\ \left(5,\ 6\right)\right\}$  

• {3, 7, 10, 6}

• {1, 2, 3, 5}

State the domain of the following function:
 $f\left(x\right)=\frac{x+3\ }{3x-4}$  

•  $\left(-\infty,\infty\right)$  

•  $\left(-\infty,\frac{4}{3}\right)$  

•  $\left(-\infty,\frac{4}{3}\right)U\left(\frac{4}{3},\infty\right)$  

•  $\left(-\infty,\frac{4}{3}\right]U\left[\frac{4}{3},\infty\right)$  

Write the equation of the line that is perpendicular to 3x - 6y = 7 and goes through the point (0,5)

• $y=\frac{1}{2}x-\frac{7}{6}$

• $y=-2x-\frac{7}{6}$

• $y=\frac{1}{2}x+5$

• $y=-2x+5$

On what interval is the graph increasing?

• $\left(-\infty,7\right)$

• $\left(-\infty,2\right)$

• $\left(-\infty,\infty\right)$

• $\left(2,\infty\right)$

Tags

CCSS.HSF-IF.C.7A

Given the following functions $f\left(x\right)=2x-1\ and\$ 
 $g\left(x\right)=x^2-3x+5$  
find  $\left(f+g\right)\left(x\right)$  

•  $x^{2\ }-3x+5$  

•  $x^{2\ }-5x-6$  

•  $x^2-x+4$  

•  $2x^{2\ }-6x+9$  

Tags

CCSS.HSF-BF.A.1B

Given the following functions  $f\left(x\right)=2x+1$  and
 $g\left(x\right)=x^2+3x-1$  
find  $\left(g\circ f\right)\left(x\right)$  

•  $4x^2+10x+3$  

•  $x^2+5x$  

•  $2x^2-5x+3$  

•  $4x^2+10x-8$  

Tags

CCSS.HSF-BF.A.1C

Find the inverse of $f\left(x\right)=\sqrt{2x-5}$  

•  $f^{-1}\left(x\right)=\frac{x^2+5}{2}$  

•  $f^{-1}\left(x\right)=\frac{x^2-5}{2}$  

•  $f^{-1}\left(x\right)=\frac{\sqrt{x+5}}{2}$  

•  $f^{-1}\left(x\right)=\sqrt{5x+2}$  

Tags

CCSS.HSF-BF.B.4A

Are the two functions below inverses? $f\left(x\right)=2x-1$  
 $g\left(x\right)=\frac{x+1}{2}$  

• Yes

• No

Tags

CCSS.HSF-BF.B.4B