Characteristics of Logarithmic Functions

Domain of y = log x ?

• All real numbers

• x > 0

• x < 0

• y > 0

Find the domain and range of:
f(x) = ln(x)

• D: all real numbers
  R: y > 0

• Domain: all real numbers
  Range: all real numbers

• Domain: x > 0
  Range: all real numbers

• Domain: all real numbers
  Range: y < 0

What is the domain of log(x)?

• (-∞, ∞)

• [0, ∞)

• (0, ∞)

• (-∞, 0)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

As x --> 1, f(x) --> ____

• 0

• ∞

• -∞

• 1

Tags

CCSS.HSF-IF.C.7E

As x --> ∞, f(x) --> ____

• 0

• ∞

• -∞

• 1

Tags

CCSS.HSF-IF.C.7E

Find the asymptote of the following: y = log10 x - 6

• x = 6

• x = -6

• x = 0

• y = 0

Tags

CCSS.HSF-IF.C.7E

Which has a vertical asymptote?

• Exponential

• Logarithmic

• Both

Tags

CCSS.HSF-IF.C.7E

Logarithmic Functions are ​ (a)   ​ (b)  

• one-to-one functions

• monotonic functions

• always increasing

• have one extrema

Tags

CCSS.HSF-IF.C.7E

The range of logarithmic functions ​ (a)  

• is all real numbers

• is from the vertical asymptote to infinity

• cannot be determined without having the function

Tags

CCSS.HSF-IF.C.7E

What ordered pair is on every logarithmic parent function? ​ (a)  

• (1, 0)

• (0, 1)

• (0,0)

• cannot be determined without the function

Tags

CCSS.HSF-IF.C.7E