Exponential and Log Transformations Graph

Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions 

• Quadratic Functions 

• Polynomial Functions 

Tags

CCSS.HSF-BF.B.4A

Find the domain and range of:
f(x) = log₂(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

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Tags

CCSS.HSF-IF.C.7E

Where is the asymptote?

• x = 1

• y = 1

• x = -1

• y = -1

Tags

CCSS.HSF-IF.C.7E

Using y=3^x as the parent function, what will y=3^-x look like?

• Reflection on the x axis

• Reflection on the line y=x

• Reflection on the y axis

• Reflection on y=0

Tags

CCSS.HSF.BF.B.3

What are the transformations of this graph?

• Right 1 Up 5

• Right 1 Down 5

• Left 1 Up 5

• Left 1 Down 5

Determine the order of transformations

• left 1, reflected over x-axis

• up 1, reflected over y-axis

• right 1, reflected over x-axis

• left 1, reflected over y-axis

f(x)=log₅(x+4) - 2

Describe the transformation

• translation 4 units to the right, 2 units down

• translation 4 units to the left, 2 units down

• translation 4 units to the up, 2 units right

• translation 4 units to the up, 2 units left

Which graph matches the function

*remember the transformation has shifted it right 3 and down 3

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Tags

CCSS.HSF-IF.C.7E

Describe the graph of f(x) = log x changed to

f(x) = log(x + 21) - 50

• translate right 21 units and 50 units down

• translate left 21 units and 50 units down

• translate right 21 units and 50 units up

• translate left 21 units and 50 units up