Functions - Math 8

Front

What is a function?

Back

A function is a relation that assigns exactly one output (y-value) for each input (x-value).

Front

What is the definition of the domain in a function?

Back

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

Front

What is the definition of the range in a function?

Back

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

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 does it mean if a relation has repeated x-values?

Back

If a relation has repeated x-values, it is not a function because a function cannot have more than one output for a single input.

Front

What does it mean if a relation has repeated y-values?

Back

A relation can have repeated y-values and still be a function, as long as each x-value is unique.

Front

If f(x) = 3x + 1, what is f(2)?

Back

f(2) = 3(2) + 1 = 7.

Front

If f(x) = 7, what is the value of x in the equation f(x) = 3x + 1?

Back

x = 2.

Front

What is the output of the function f(x) = 2x - 4 when x = 5?

Back

f(5) = 2(5) - 4 = 6.

Front

What is the relationship between functions and ordered pairs?

Back

A function can be represented as a set of ordered pairs (x, y) where each x-value corresponds to exactly one y-value.