Function,relation,functional notations

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input from its domain.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What does g(x) = x + 1 represent?

Back

This represents a linear function where the output is one more than the input.

Front

Calculate g(10) for g(x) = x + 1.

Back

g(10) = 10 + 1 = 11.

Front

What does g(x) = 3x + 1 represent?

Back

This represents a linear function where the output is three times the input plus one.

Front

Calculate g(8) for g(x) = 3x + 1.

Back

g(8) = 3(8) + 1 = 24 + 1 = 25.

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, typically representing a relationship between two sets.

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 y-intercept of a graph?

Back

The y-intercept is the point where the graph intersects the y-axis, represented as (0, y).