Transformations of Exponential & Logarithmic Functions

Which of the following describes the affect the  $-3$  in the function  $y=4^x-3$  ?

• Changes the range to  $\left(-3,\ \infty\right)$  

• Changes the range to  $\left(-\infty,\ -3\right)$  

• Changes the range to  $\left(-\infty,\ 3\right)$  

• Changes the range to  $\left(3,\ \infty\right)$  

Tags

CCSS.HSF.BF.B.3

Which of the following describes the range of the function $y=-2\left(3\right)^x$  ?

•  $\left(0,\ \infty\right)$  

•  $\left(-2,\ \infty\right)$  

•  $\left(-\infty,\ 0\right)$  

•  $\left(-\infty,\ -2\right)$  

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

Which of the following best describes the range of the function $y=2^{x+4}+5$  ?

•  $\left(-\infty,\ 5\right)$  

•  $\left(0,\ \infty\right)$  

•  $\left(-5,\ \infty\right)$  

•  $\left(5,\ \infty\right)$  

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

Which of the following has a vertical asymptote at $x=4$  

•  $y=2^x-4$  

•  $y=\log_2\left(x-4\right)$  

•  $y=2^x+4$  

•  $y=\log_2\left(x+4\right)$  

Tags

CCSS.HSF-IF.C.7E

Logarithmic functions are the inverse of...

• Linear Functions
• Exponential Functions 
• Quadratic Functions 
• Polynomial Functions 

Tags

CCSS.HSF.BF.B.5

Match the graph with its equation

• y = log₆(-x) + 1
• y = log₆(x − 2) + 1
• y = log₆(x + 2) - 1
• y = log(x-8) + 1

Tags

CCSS.HSF-IF.C.7E

Match the graph with its equation

• y = log₅ (x + 1) + 1 
• y = log₅ (x - 1) + 1 
• y = log₅ (x²) + 1 
• y = log₅ (x)-1

Tags

CCSS.HSF-IF.C.7E

Select all the transformations that apply.

y = -2 log _1/2 x

• Vertical stretch by 2

• Vertical shrink by 1/2

• Reflection across the y-axis

• Reflection across the x-axis

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Find the corresponding graph of
 $-\log_4\left(x+1\right)+2$  

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7E

What is the Range?

• y > 0
• All Real Numbers
• y > 1
• y < 1

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2