8R Unit 6 Review for Test

Front

What is a linear function?

Back

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not have a constant rate of change and cannot be represented as a straight line. Its graph may be curved or have varying slopes.

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, as the input values increase, the output values also increase.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing on an interval if, as the input values increase, the output values decrease.

Front

What is the definition of a function?

Back

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

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 the y-values divided by the change in the x-values (rise over run).

Front

What is the y-intercept of a linear function?

Back

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 between consecutive y-values is constant as the x-values change.

Front

What is the difference between a function and a relation?

Back

A relation can have multiple outputs for a single input, while a function must have exactly one output for each input.

Front

What does it mean for a graph to be nonlinear and not a function?

Back

A graph is nonlinear and not a function if it does not pass the vertical line test, meaning a vertical line intersects the graph at more than one point.