8.F.1-5 Functions Review

Front

What is a function?

Back

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

Front

What is the definition of a linear function?

Back

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise over run).

Front

What does the y-intercept represent in a function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, representing the output value when the input is zero.

Front

How can you determine if a function is linear or nonlinear?

Back

Front

What is the equation of a linear function?

Back

Front

Back

In this equation, the slope (0.5) represents the per-mile fee for the moving truck.

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, and others.

Front

What is the significance of the initial fee in a cost function?

Back

The initial fee is a fixed cost that must be paid regardless of the number of units (e.g., guests, miles) used.

Front

How do you find the y-intercept from an equation?

Back