Algebra II Pre-Test

Front

What is the definition of a function in mathematics?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) that a function can produce.

Front

How do you determine if a relation is a function?

Back

A relation is a function if no x-value is paired with more than one y-value.

Front

What is a Z-score?

Back

A Z-score measures how many standard deviations an element is from the mean of a data set.

Front

How do you calculate a Z-score?

Back

Z = (X - μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation.

Front

What is the formula for exponential decay?

Back

The formula is y = a(1 - r)^t, where a is the initial amount, r is the decay rate, and t is time.

Front

What is the difference between exponential growth and decay?

Back

Exponential growth increases over time, while exponential decay decreases over time.

Front

What does the standard deviation represent in a data set?

Back

Standard deviation measures the amount of variation or dispersion of a set of values.

Front

What is the significance of the mean in statistics?

Back

The mean is the average of a set of numbers, representing the central value.