(02/10) 4th Pd Unit 5A Graphing Log Functions Quiz

Describe the end behavior of the function shown: y=log₂(x+1)

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Answer explanation

Write the equation of the function f(x)=log₃x after the following transformations:

Translate 6 units left and 4 units up.

• g(x)=log₃(x+6)+4

• g(x)=log₃(x+4)-6

• g(x)=log₃(x-6)+4

• g(x)=3log(x+6)+4

Tags

CCSS.HSF.BF.B.3

What is the asymptote for the given function: y = log₁₀ (x+3)

• x=-3

• x=3

• y=-3

• y=3

Answer explanation

Log function asymptote is always x=h!!

Describe the transformations of f(x)= -log₂(x+1)

• Left one & reflection over y-axis

• Right one & reflection over y-axis

• Left one & reflection over x-axis

• Right one & reflection over x-axis

Which of the following transformations would take f(x)= lnx to g(x)= −ln(x+5)

• reflection over the x-axis

• reflection over the y-axis

• translate right 5

• translate up 5

• translate left 5

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

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.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which graph is logarithmic

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Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which function below has an asymptote a x=a?

• $g\left(x\right)=b\cdot\log_a\left(x-d\right)+c$

• $h\left(x\right)=c\cdot\log_d\left(x-b\right)+a$

• $f\left(x\right)=a\cdot\log_b\left(x-c\right)+d$

• $p\left(x\right)=d\cdot\log_c\left(x-a\right)+b$

Which of the following would you use to evaluate:

(Which one shows the correct way to set up change-of-base)?

• $\log\left(\frac{17}{6}\right)$

• $\log\left(\frac{6}{17}\right)$
  

• $\frac{\log\ 17}{\log\ 6}$
  

• $\frac{\log\ 6}{\log\ 17}$
  

Simplify the expression log₅(625)

• 125
• 620
• 4
• 5

Tags

CCSS.HSF.BF.B.5