Linear Relationships Test Review

Front

What is the initial value in a linear relationship?

Back

The initial value is the value of the output when the input is 0, also known as the y-intercept of the graph.

Front

Does the relation {(-5, -3), (7, 2), (3, 8), (3, -8), (5, 10)} represent a function?

Back

No, because the input value 3 corresponds to two different output values (8 and -8).

Front

What function models the relationship of the number of gallons being drained from an aquarium over time if the graph shows a linear decrease?

Back

y = -10x + 90, where y represents the gallons left and x represents time in hours.

Front

What is a nonlinear function?

Back

A nonlinear function is a function whose graph is not a straight line.

Front

What is an interval in mathematics?

Back

An interval is a period of time between two points of time or events.

Front

What does the term 'constant rate of change' refer to?

Back

It refers to a consistent change in the output value for each unit change in the input value, characteristic of linear functions.

Front

What is the definition of a function?

Back

A function is a relation where each input has exactly one output.

Front

How can you identify the y-intercept from a linear equation?

Back

The y-intercept can be identified as the value of y when x is 0 in the equation of the line.

Front

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

Back

The slope represents the rate of change of the output value with respect to the input value.

Front

What is the difference between a linear function and a nonlinear function?

Back

A linear function has a constant rate of change and its graph is a straight line, while a nonlinear function does not.