2.11 Review

Front

What is the equation of the logarithmic function with base 2?

Back

f(x) = log_2(x)

Front

What is the domain of the function f(x) = ln(x)?

Back

Domain: x > 0

Front

What is the range of the function f(x) = ln(x)?

Back

Range: all real numbers

Front

What is the equation of the logarithmic function that shifts to the left by 3 units?

Back

f(x) = log_2(x + 3)

Front

What is the asymptote of the function y = 2^x?

Back

y = 0

Front

What is the asymptote of the function y = 2^x - 3?

Back

y = -3

Front

What is the general form of a logarithmic function?

Back

f(x) = log_b(x - h) + k, where (h,k) is the shift.

Front

What does the base of a logarithm indicate?

Back

The base indicates the number that is raised to a power to obtain a given value.

Front

How do you find the inverse of a logarithmic function?

Back

To find the inverse, switch x and y and solve for y.

Front

What is the relationship between exponential and logarithmic functions?

Back

They are inverses of each other.