Graphs of Logarithmic Functions: Domain & Range/Transformations

Logarithmic functions are the inverse of...

• Linear Functions
• Exponential Functions 
• Quadratic Functions 
• Polynomial Functions 

What is an asymptote in the graph of a mathematical function?

• A horizontal line that a graph gets close to as the graph approaches =/- infinity

• A vertical line that a graph gets close to as the graph approaches =/- infinity.

• A slanted line that a graph gets close to as the graph approaches =/- infinity.

• A horizontal line that a graph gets further from as the graph approaches =/- infinity

• A vertical line that a graph gets further from as the graph approaches =/- infinity.

What kind of asymptotes do logs have?

• horizontal ( y=0)
• vertical (x=0)

Which graph is logarithmic

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• left 3, right 1

• right 3, down 1

• right 3, up 1

• left 3, down 1

• Right nine and down seven

• Left nine and down seven

• Left nine and up seven

• Right nine and up seven

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

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

• left one & y-axis reflection
• right one & y-axis reflection
• left one & x-axis reflection
• right one & x-axis reflection

Describe the transformations from the parent function y=log₆x to y = - log ₆ (x - 1) - 5

• Reflection about the x-axis; shift left one and up five

• Reflection about the x-axis; shift left one and down five

• Reflection about the y-axis; shift right one and down five

• Reflection about the x-axis; shift right one and down five

Describe the graph of f(x) = log₉ x transformed to

f(x) = log₉(-x + 1) - 5

• Reflection about the y-axis; shift right 1 and 5 down

• Reflection about the y-axis; shift left 1 and 5 down

• Reflection about the x-axis; shift right 1 and 5 units down

• Reflection about the x-axis; shift left 1 and 5 units down