PreCal 3-1 & 3-2

Front

What is the logarithmic form of the equation 2^-4 = 1/16?

Back

log₂(1/16) = -4

Front

What transformation occurs in the function y = 4^-x?

Back

It reflects across the y-axis.

Front

What type of function is represented by y = 4^-x?

Back

Exponential decay.

Front

What is the result of the expression 10^log(k)?

Back

k

Front

How can you identify if a function is exhibiting exponential growth or decay?

Back

Exponential growth occurs when the base is greater than 1; decay occurs when the base is between 0 and 1.

Front

What is the general form of an exponential function?

Back

y = ab^x, where a is a constant and b is the base.

Front

What does it mean for a function to be exponential growth?

Back

The function increases rapidly as x increases.

Front

What does it mean for a function to be exponential decay?

Back

The function decreases rapidly as x increases.

Front

How do you convert an exponential equation to logarithmic form?

Back

If b^y = x, then log_b(x) = y.

Front

What is the base of a logarithm in the expression log_b(x)?

Back

The base b is the number that is raised to a power to obtain x.