Graphs Exponential Logarithmic

Which graph matches the equation

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• x=1

• x=-1

• y=1

• y=-1

Which graph matches the function

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

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What kind of asymptotes do logs have?

• horizontal ( y=0)

• vertical (x=0)

The inverse of a logarithmic function and the logarithmic function do what on a graph?

• The are perpendicular

• They are paralell

• They reflect over the line y=x.

• There is nothing special .

Which equation is the inverse of the equation above?

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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

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 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

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