M8 Unit 6 Review (Functions)

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one and only one y-value.

Front

What is the definition of a linear function?

Back

Front

What does it mean for a table to represent a function?

Back

A table represents a function if each input (x-value) corresponds to exactly one output (y-value). If any input has multiple outputs, it is not a function.

Front

How do you determine if a mapping is a function?

Back

To determine if a mapping is a function, check if each input is paired with exactly one output. If any input has more than one output, it is not a function.

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). It is often represented by the letter m.

Front

What is the y-intercept of a function?

Back

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

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the given x-value into the function's equation and solve for y.

Front

What is the difference between a function and a relation?

Back

A relation is any set of ordered pairs, while a function is a specific type of relation where each input is associated with exactly one output.

Front

What is an initial value in a function?

Back

The initial value of a function is the value of the function when the input is zero (x = 0). It is often represented by the y-intercept.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the x-values increase, the y-values also increase. This means the graph of the function rises from left to right.