Domain, Range and Linear Functions

Front

What is the definition of a function?

Back

A function is a relation where for every input, there is exactly one output.

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

How do you determine the domain from a graph?

Back

The domain can be determined by identifying all the x-values that the graph covers.

Front

How do you determine the range from a graph?

Back

The range can be determined by identifying all the y-values that the graph covers.

Front

What is the slope-intercept form of a linear function?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x.

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the line crosses the y-axis (x=0).

Front

If a family drinks 5 bottles of water per day from a case of 48 bottles, what is the equation for the number of bottles left after x days?

Back

y = 48 - 5x.

Front

What is f(6) for the function f(x)=3x-8?

Back

f(6) = 10.