Mathematics Functions and Graphing

These flashcards cover key concepts related to functions, graphing, volume, surface area, and piecewise functions based on the lecture notes.

What is an important consideration when determining the domain of a function involving a fraction?

The denominator cannot be equal to 0.

How do you find the domain of the function f(x) when it involves a square root?

The inside of the square root must be greater than or equal to 0.

What is the difference regarding the domain for square roots and cube roots?

Square roots require the inside to be non-negative, while cube roots can accept negative values.

What is a key feature of a quadratic function's graph?

It can always be graphed using a table of values to find corresponding outputs.

What is the formula to calculate the volume of a cube?

V = s^3 where s is the length of a side.

How do you express surface area (A) in terms of volume (V) for a cube?

A = 6 * (V^(2/3)).

How much does it cost per minute after the first 400 minutes in a cell phone plan with a basic charge of $35?

It costs 10 cents for each extra minute.

What kind of function involves piecewise definitions, such as basic charges and costs for extra usage?

A piecewise function.