8.F.1-5 Functions Review

Front

What is a function?

Back

A function is a relationship between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not form a straight line when graphed. Examples include quadratic functions, exponential functions, etc.

Front

What does the slope of a line represent in a linear function?

Back

The slope represents the rate of change of the function; it indicates how much y changes for a unit change in x.

Front

What is the y-intercept of a function?

Back

The y-intercept is the value of y when x is 0. It is the point where the graph of the function crosses the y-axis.

Front

How can you determine if a relationship is linear from a table of values?

Back

A relationship is linear if the rate of change (slope) between any two points is constant.

Front

What is the equation of a function that starts with an initial value and increases by a constant amount?

Back

The equation is y = mx + b, where m is the constant increase and b is the initial value.

Front

What is the difference between independent and dependent variables in a function?

Back

The independent variable is the input (x), while the dependent variable is the output (y) that depends on the input.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as x increases, y also increases.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as x increases, y decreases.