F24 Adv. Algebra Final Exam

Front

What is the change of base rule for logarithms?

Back

The change of base rule states that log_b(a) = log_k(a) / log_k(b) for any positive k.

Front

In which quadrants is tanθ positive?

Back

Tanθ is positive in the 1st and 3rd quadrants.

Front

How do you calculate the mean of a set of numbers?

Back

The mean is calculated by adding all the numbers together and dividing by the count of numbers.

Front

What does it mean to transform a function?

Back

Transforming a function involves shifting it horizontally or vertically, stretching, or compressing it.

Front

How do you find the z-score of a value?

Back

The z-score is calculated using the formula z = (X - μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation.

Front

What is the parent function of a quadratic function?

Back

The parent function of a quadratic function is f(x) = x².

Front

What is the definition of an inverse function?

Back

An inverse function reverses the operation of the original function, such that if f(x) = y, then f⁻¹(y) = x.

Front

How do you determine if a function has an inverse?

Back

A function has an inverse if it is one-to-one, meaning it passes the horizontal line test.

Front

What is the formula for the mean of a data set?

Back

Mean = (Sum of all data points) / (Number of data points).

Front

What is the significance of the standard deviation in statistics?

Back

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