Graphing Logarithmic Functions and Their Transformations

What are logarithmic functions inverses of?

• Trigonometric functions

• Quadratic functions

• Linear functions

• Exponential functions

How do you graph the inverse of a function?

• Reflect over the y-axis

• Reflect over the x-axis

• Reflect over the line y = x

• Translate along the y-axis

What is the base in the logarithmic function y = log base 2 of X?

• y

• X

• 2

• log

How do you convert a logarithmic function into an exponential form?

• By taking the reciprocal of the base

• By exponentiating both sides

• By translating it along the x-axis

• By reflecting it over the y-axis

What does a vertical asymptote in a logarithmic graph represent?

• Boundary for the range

• Maximum value of X

• Minimum value of Y

• Boundary for the domain

How does subtracting 1 from X in log base 2 of (X-1) affect the graph?

• Shifts it up by 1

• Shifts it right by 1

• Shifts it left by 1

• Shifts it down by 1

What is the domain of y = log base 2 of (X-1) + 3?

• X > 0

• X < 1

• All real numbers

• X > 1

In the function y = log base 1/2 of X, what does the base between 0 and 1 indicate about the graph?

• It will be steeper than usual

• It will reflect over the y-axis

• It will approach the x-axis more slowly

• It will have a different shape compared to bases > 1

What effect does a negative sign have in front of a logarithmic function?

• Reflects it over the y-axis

• Reflects it over the x-axis

• Translates it downwards

• Translates it upwards

What is the domain of y = 3 - log base 4 of (X+1)?

• X > -1

• All real numbers

• X > 1

• X < -1