Logarithmic Transformations

What is the value of log₂(8)?

• 1

• 2

• 3

• 4

What is the relationship between logarithmic and exponential functions?

• Logarithmic functions grow faster than exponential functions.

• Logarithmic functions grow slower than exponential functions.

• Logarithmic functions and exponential functions are identical.

• Logarithmic functions do not exist.

The asymptote of y = log₂x + 1 will shift...

• to x = 1

• to x = -1

• not shift at all and remain x = 0

• to x = 2

What is the equation of the asymptote for the function y = log(x + 3)?

• x = 0

• x = 3

• x = -3

• y = 0

Describe the graph of f(x) = log x changed to f(x) = 3log(x + 1) - 5

• vertical stretch by 3 and shift left 1 and 5 units down

• horizontal compression by 3 and shift right 1 and 5 units up

• vertical compression by 3 and shift left 1 and 5 units up

• no transformation applied

What is the range of the function y = log(x)?

• All real numbers

• Only positive numbers

• Only negative numbers

• From 0 to infinity

What is the value of log₁₀(100)?

• 1

• 2

• 3

• 10

What transformation occurs when you change y = log(x) to y = log(x) + 3?

• Vertical shift down by 3 units.

• Vertical shift up by 3 units.

• Horizontal shift left by 3 units.

• Horizontal shift right by 3 units.

If logₐ(b) = c, what is the equivalent exponential form?

• a^c = b

• c^a = b

• b^c = a

• logₐ(b) = a^c

Logarithmic functions are the inverse of...

• Polynomial Functions

• Trigonometric Functions

• Exponential Functions

• Rational Functions