Logarithmic Functions

Logarithmic Functions

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A2.A.SSE.B.2

A2.F.LE.A.2

A2.F.IF.B.3

Multiple Select

What type of functions will be discussed in today's lesson?

• quadratic

• exponential

• linear

• logarithms

Multiple Choice

When finding the inverse of a relation,

1st you replace f(x) with y

2nd switch the x's and y's

What do you do next?

• solve for y

• replace y with f^-1(x)

• solve for x

• find the greatest common factor

Multiple Choice

The inverse has been reflected over which line?

• y = x

• y =1

• y = 0

• y = x + 1

Multiple Choice

Find the inverse

f(x)= x⁴ - 2

• ∜(x+2)

• (x+2)⁴

• -1+2x⁴

• ∜2x

Multiple Choice

Find the inverse

f(x)=2x-2

• f^-1(x)=1/2x+1

• f^-1(x)=-2-1/2x

• f^-1(x)=-7/3x-20/3

• 2-2/5x

Multiple Choice

Is this exponential growth or decay?

• Growth
• Decay

Multiple Choice

Rewrite log_pt = m in exponential form.

• p^t = m

• t^m = p

• m^t = p

• p^m = t

Multiple Choice

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3

Multiple Choice

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Multiple Choice

Evaluate log₄1

• 1

• 0

• 4

• undefined

Multiple Choice

Evaluate.

log₃81

• 4

• ¹/₄

• -4

• -¹/₄

Multiple Choice

Evaluate.

log₆(¹/₂₁₆)

• 3

• ¹/₃

• -¹/₃

• -3

Multiple Choice

What is the inverse of

 $c\left(x\right)=\log\left(x\right)$  

•  $c^{-1}\left(x\right)=x^e$  

•  $c^{-1}\left(x\right)=\ln x$  

•  $c^{-1}\left(x\right)=x^{10}$  

•  $c^{-1}\left(x\right)=10^x$  

Multiple Choice

log_a x

This function always passes thru coordinate:

• (0, 1)

• (1, 0)

• (0, a)

• (a, 0)

Multiple Choice

Logarithmic functions have...

• Vertical asymptote at x=0

• Vertical asymptote at x=1

• Horizontal asymptote at y=1

• Horizontal asymptote at y=0