Advanced Algebra Final Exam

Front

What is the range of the exponential function?

Back

The range of an exponential function is all real numbers greater than a certain value, often expressed as y > k, where k is the minimum value.

Front

What does it mean to find the inverse of a function?

Back

Finding the inverse of a function means switching the x's and y's in the function's equation.

Front

What is the minimum value of a function?

Back

The minimum value of a function is the lowest point on the graph of the function.

Front

How do you calculate the Mean?

Back

The Mean is calculated by adding all the values together and dividing by the number of values.

Front

What function represents a cell that doubles every hour starting with 4 cells?

Back

n = 4(2^h), where n is the number of cells after h hours.

Front

Define an exponential function.

Back

An exponential function is a mathematical function of the form f(x) = a * b^x, where a is a constant, b is the base, and x is the exponent.

Front

What is the domain of an exponential function?

Back

The domain of an exponential function is all real numbers, expressed as (-∞, ∞).

Front

What is the difference between a function and its inverse?

Back

A function maps inputs to outputs, while its inverse maps outputs back to inputs.

Front

How do you find the inverse of a function algebraically?

Back

To find the inverse, replace f(x) with y, switch x and y, and solve for y.

Front

What is a vertical asymptote?

Back

A vertical asymptote is a line x = a where a function approaches infinity or negative infinity.