Unit 4a Test Review

Front

What is the decay factor for a car valued at $15,000 that depreciates at a rate of 8% per year?

Back

.92

Front

If the population of a village is currently 175,000 and decreases by 2.5% annually, what will be the approximate population in 25 years?

Back

92929

Front

What is an asymptote in mathematics?

Back

An asymptote is a line that a graph approaches but never touches. For example, x=1 is a vertical asymptote.

Front

Logarithmic functions have a restricted _____________.

Back

domain

Front

Rewrite in exponential form: log₃(9)=2.

Back

3²=9

Front

What is the formula for exponential decay?

Back

The formula is A = A₀ e^(-kt), where A₀ is the initial amount, k is the decay constant, and t is time.

Front

Define exponential growth.

Back

Exponential growth occurs when the growth rate of a value is proportional to its current value, leading to growth that accelerates over time.

Front

What is the difference between linear and exponential functions?

Back

Linear functions have a constant rate of change, while exponential functions have a variable rate of change that increases or decreases rapidly.

Front

What does the term 'domain' refer to in mathematics?

Back

The domain is the set of all possible input values (x-values) for a function.

Front

What is the range of a logarithmic function?

Back

The range of a logarithmic function is all real numbers.