Math 8 NC Check In Review FUNCTIONS

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output (y) for each input (x).

Front

How can you determine if a relation is a function?

Back

A relation is a function if no two ordered pairs have the same first element (x-value).

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept of a function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis (x=0).

Front

What does it mean for y to be a function of x?

Back

It means that for each value of x, there is exactly one corresponding value of y.

Front

How do you identify a function from a table of values?

Back

Check if each x-value corresponds to only one y-value; if yes, it is a function.

Front

What is the graphical representation of the function y = 2x?

Back

It is a straight line that passes through the origin with a slope of 2.

Front

What is the relationship between parallel lines and their slopes?

Back

Parallel lines have the same slope but different y-intercepts.

Front

What is the difference between a function and a relation?

Back

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