Advanced Algebra Final Exam

Front

What is the definition of an inverse function?

Back

An inverse function reverses the operation of the original function. If f(x) takes an input x and produces an output y, then the inverse function f⁻¹(y) takes y back to x.

Front

How do you find the inverse of a function algebraically?

Back

To find the inverse of a function, replace f(x) with y, swap x and y, and then solve for y.

Front

What is the maximum value in a set of numbers?

Back

The maximum value is the largest number in a given set.

Front

What do points B and D represent on a box plot?

Back

Points B and D represent the first and third quartiles, respectively.

Front

What is the relationship between a function and its inverse?

Back

A function and its inverse are reflections of each other over the line y=x.

Front

How do you determine if two functions are inverses of each other?

Back

Two functions f(x) and g(x) are inverses if f(g(x)) = x and g(f(x)) = x for all x in the domain.

Front

What is the inverse of the function f(x) = 3x - 5?

Back

f⁻¹(x) = (x + 5)/3.

Front

What is a box plot?

Back

A box plot is a graphical representation of a dataset that shows its minimum, first quartile, median, third quartile, and maximum.

Front

What does the term 'quartile' refer to in statistics?

Back

A quartile is a type of quantile that divides a dataset into four equal parts.

Front

What is the mean of a dataset?

Back

The mean is the average of a set of numbers, calculated by dividing the sum of the numbers by the count of the numbers.