Functions & Function Tables

Front

What is a function?

Back

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

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

What does it mean for a relation to be a function?

Back

A relation is a function if each input corresponds to exactly one output.

Front

What is a function table?

Back

A function table is a table that displays input values and their corresponding output values.

Front

How do you determine if a set of ordered pairs represents a function?

Back

Check if any input value is repeated with a different output value.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.

Front

What is the slope in a linear function?

Back

The slope (m) represents the rate of change of the function, indicating how much y changes for a change in x.

Front

What is the y-intercept in a linear function?

Back

The y-intercept (b) is the value of y when x is 0, representing where the line crosses the y-axis.

Front

If the function rule is y = 3x + 2, what is the output when x = 4?

Back

The output is 14.