A2 Fall Semester Recovery-1

Express the following in Interval Notation:
 $-8≤x<8$  

•  $[-8,8]$  

•  $(-8,8]$  

•  $[-8,8)$  

•  $(-8,8)$  

Tags

CCSS.6.EE.B.8

Write the set of numbers in set-builder notation.
 $(−∞,5]\ or\ [14,∞)$  

•  $\left\{x∣x≤5\ or\ x>14\right\}$  

•  $\left\{x∣x≤5\ or\ x≥14\right\}$  

•  $\left\{x∣x<5\ or\ x>14\right\}$  

•  $\left\{x∣x<5\ or\ x\ge14\right\}$  

Which function represent the graph?

• $f(x)=|x-4|+3$

• $f(x)=|x-3|+4$

• $f(x)=|-x+4|+3$

• $f(x)=|x+4|+3$

Tags

CCSS.HSF-IF.C.7D

 $f\left(x\right)=\left|x\right|$  ; a vertical shrink by a factor of  $\frac{2}{5}$  followed by a translation 6 right.  

Write a function  $g$   whose graph represents the indicated transformation of  $f$  . 

•  $y=6|x|-\frac{2}{5}$  

•  $y=\frac{2}{5}|x|+6$  

•  $y=\frac{2}{5}|x+6|$  

•  $y=\frac{2}{5}|x-6|$  

Solve the absolute value equation.
 $8|4+m|=64$  

•  $\left\{-12,4\right\}$  

•  $\left\{-6,6\right\}$  

•  $\left\{-4\right\}$  

•  $\left\{-9,9\right\}$  

What is the solution of  $|2w-1|<1$  ?

• No Solution

• All Real Numbers

•  $0<w<1$  

•  $-1<w<0$  

Which of the following is NOT a solution to this system of inequalities?

• $(0,-1)$

• $(0,3)$

• $(4,0)$

• $(6,-2)$

Tags

CCSS.HSA.REI.D.12

What steps transform the graph  $f\left(x\right)=x^2$  to  $g\left(x\right)=2(x+2)^2-5$  ?

• Vertical Shrink by 2, shifted 2 units left and 5 down

• Vertical Stretch by 5, shifted 5 units left and 2 down

• Vertical Stretch by 2, shifted 2 units left and 5 down

• Vertical Shrink by 5, shifted 2 units left and 2 down

Write a rule for g described by the transformation of f. Then identify the vertex.  $f\left(x\right)=x^2$  ; vertical stretch by a factor of  $4$  and a reflection in the x-axis, followed by a translation  $2$  units right.

•  $g\left(x\right)=4x^2-2;\ \left(0,-2\right)$  

•  $g\left(x\right)=-\frac{1}{4}\left(x-2\right)^2;\ \left(2,0\right)$  

•  $g\left(x\right)=4\left(x-2\right)^2;\ \left(2,0\right)$  

•  $g\left(x\right)=-4\left(x-2\right)^2;\ \left(2,0\right)$  

 $f\left(x\right)=x^2-3.$  Find the min or max value of the function. Describe the domain and range of the function, and where the function is increasing and decreasing.

• The maximum value is  $3$  . The domain is all real numbers and the range is  $y\le3$  . The function is increasing to the left of  $x=0$  and decreasing to the right of  $x=0$  .

• The minimum value is  $-3$  . The domain is all real numbers and the range is  $y\ge-3$  . The function is decreasing to the left of  $x=0$  and increasing to the right of  $x=0$  .

• The maximum value is  $-3$  . The domain is all real numbers and the range is  $y\le-3$  . The function is increasing to the left of  $x=0$   and decreasing to the right of  $x=0$  .

• The minimum value is  $3$  . The domain is all real numbers and the range is  $y\ge3$  . The function is decreasing to the left of  $x=0$  and increasing to the right of  $x=0$  .