Unit 5 Test Functions and Volume

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

How can you determine if a graph represents a function?

Back

A graph represents a function if no vertical line intersects the graph at more than one point.

Front

What is the formula for the volume of a cone?

Back

The volume of a cone is given by V = (1/3)πr²h, where r is the radius and h is the height.

Front

What is the formula for the volume of a sphere?

Back

The volume of a sphere is given by V = (4/3)πr³, where r is the radius.

Front

What does it mean if a relation is not a function?

Back

A relation is not a function if at least one input (x-value) is associated with more than one output (y-value).

Front

How do you calculate the volume of a cylinder?

Back

The volume of a cylinder is calculated using the formula V = πr²h, where r is the radius and h is the height.

Front

What is the significance of π in volume calculations?

Back

π (pi) is a constant approximately equal to 3.14, used in formulas for calculating volumes of circular shapes.

Front

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

Back

The diameter of a circle is twice the radius (d = 2r).

Front

How do you round a number to the nearest hundredth?

Back

To round to the nearest hundredth, look at the third decimal place. If it's 5 or more, round up the second decimal place by one.

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 crosses the graph more than once.