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Key Features of Functions and Transformations of Functions

Authored by latycia Milton

Mathematics

11th Grade

CCSS covered

Used 11+ times

Key Features of Functions and Transformations of Functions
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33 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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Given the functions  f(x)= 3(x + 4)2 +6f\left(x\right)=\ -3\left(x\ +\ 4\right)^{2\ }+6  identify the domain 

 (,)\left(\infty,-\infty\right)  

 (,)\left(-\infty,\infty\right)  

 (, 6]\left(-\infty,\ 6\right]  

 (, 6]\left(\infty,\ 6\right]  

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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Given the functions  f(x)= x9+2f\left(x\right)=\ \left|x-9\right|+2  identify the range

 (,2]\left(-\infty,2\right]  

 (,2)\left(-\infty,2\right)  

 [2,]\left[2,\infty\right]  

 [2,)\left[2,\infty\right)  

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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Given the functions  f(x)= 3(x + 4)2 +6f\left(x\right)=\ -3\left(x\ +\ 4\right)^{2\ }+6  identify the intervals of increase

 (,4)\left(-\infty,-4\right)  

 (,4)\left(\infty,-4\right)  

 (, 6)\left(-\infty,\ 6\right)  

 (, 6)\left(\infty,\ 6\right)  

Tags

CCSS.HSF-IF.C.7A

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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Given the functions  f(x)= 3(x + 4)2 +6f\left(x\right)=\ -3\left(x\ +\ 4\right)^{2\ }+6  identify the intervals of decrease

 (4,)\left(-4,-\infty\right)  

 (4 , )\left(-4\ ,\ \infty\right)  

 (6,)\left(6,-\infty\right)  

 (6,)\left(6,\infty\right)  

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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Given the functions  f(x)= 3(x + 4)2 +6f\left(x\right)=\ -3\left(x\ +\ 4\right)^{2\ }+6  identify the end behavior

 x, f(x)  x\rightarrow-\infty,\ f\left(x\right)\rightarrow\ -\infty\    x+, f(x)x\rightarrow+\infty,\ f\left(x\right)\rightarrow-\infty  

 x, f(x)+x\rightarrow-\infty,\ f\left(x\right)\rightarrow+\infty      x+, f(x) +\ \ \ x\rightarrow+\infty,\ f\left(x\right)\rightarrow\ +\infty  

 x+, f(x)x\rightarrow+\infty,\ f\left(x\right)\rightarrow-\infty   x, f(x) + x\rightarrow-\infty,\ f\left(x\right)\rightarrow\ +\infty\   

 x, f(x)     x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty\ \ \ \ \    x+, f(x)x\rightarrow+\infty,\ f\left(x\right)\rightarrow-\infty  

Tags

CCSS.HSF-IF.C.7A

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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Given the functions  f(x)= x9+2f\left(x\right)=\ \left|x-9\right|+2  identify the intervals of Increase

 (9,)\left(9,\infty\right)  

 (,2)\left(-\infty,2\right)  

 (, 9)\left(-\infty,\ 9\right)  

 (, 9)\left(\infty,\ 9\right)  

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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Given the functions  f(x)= 3(x + 4)2 +6f\left(x\right)=\ -3\left(x\ +\ 4\right)^{2\ }+6  identify the function type

Rational

Absolute Value

Quadratic 

Square Root

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