Precalculus Chapter 3 Test

Identify the correct graph of the following function and identify any asymptotes.
 $f\left(x\right)=10^{-x}$  

• 
• Horizontal asymptote: y = 0

• 
• horizontal asymptote: x = 0

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

Use the properties of logarithms to simply the expression.
 $f\left(x\right)=\log_77^{-.089}$  

• -7

• 7

• -.89

• -.089

Tags

CCSS.HSF.BF.B.5

Use the properties of logarithms to simplify the expression.
 $f\left(x\right)=5-\log_{10}1000$  

• 5

• 2

• 3.78

• .2

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Find the domain, x-intercept, and asymptote of the logarithmic function.
 $f\left(x\right)=-\log_{10}x-6$  

• domain:  $\left(0,\infty\right)$  
  
  x-intercept: (0,0)
  
  asymptote: y = 0

• domain:  $\left(-\infty,\infty\right)$  
  
  x-intercept: (0,0)
  
  asymptote: x = 0

• domain:  $\left(0,\infty\right)$  
  
  x-intercept: (0,0)
  
  asymptote: x = 0

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

Find the domain, x-intercept, and asymptote of the logarithmic function.
 $f\left(x\right)=\ln\left(x+4\right)$  

• domain:  $\left(-\infty,\infty\right)$  
  
  x-intercept: (-3,0)
  
  asymptote: y = -4

• domain:  $\left(-4,\infty\right)$  
  
  x-intercept: (-3,0)
  
  asymptote: x = -4

• domain:  $\left(-4,\infty\right)$  
  
  x-intercept: (0,-3)
  
  asymptote: x = -4

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

Evaluate.  $\log_744$  

• 1.94

• 1.98

• .194

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Evaluate.  $\log_{\frac{2}{5}}1.3$  

• .29

• -.29

• -0.29

• -.029

Tags

CCSS.HSF.BF.B.5

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Evaluate.  $\log_{12}64$  

• 1.67

• 2.67

• 3.67

• 4.67

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Use the properties of logarithms to expand the expression as a sum, difference, and/or multiple logarithms.
 $\log_23a^4$  

•  $\log_32+4\log_2a$  

•  $4\log_2a+\log_23$  

•  $\log_23+4\log_2a$  

Tags

CCSS.HSA.SSE.B.3

Use the properties of logarithms to condense the expression.
 $\log_313+\log_3y$  

•  $13\log_3y$  

•  $y\log_313$  

•  $\log_313y$