Functions and Volume Flashcard

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

How can you determine if a graph represents a function?

Back

A graph represents a function if any vertical line drawn through the graph intersects it at most once (Vertical Line Test).

Front

What is the difference between a linear function and a nonlinear function?

Back

A linear function has a constant rate of change and can be represented by a straight line, while a nonlinear function does not have a constant rate of change and can be represented by curves.

Front

What is the formula for the volume of a cylinder?

Back

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

Back

Front

What does it mean for a table to represent a function?

Back

A table represents a function if each input (x-value) corresponds to exactly one output (y-value).

Front

What is the formula for the volume of a sphere?

Back

Front

What is the formula for the volume of a cone?

Back

Front

What is the relationship between the radius and diameter of a circle?

Back

Front

What is a vertical line test?

Back

The vertical line test is a method to determine if a graph is a function by checking if any vertical line intersects the graph more than once.