8th Grade - 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 slope of a line?

Back

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

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the output value when the input (x) is zero.

Front

Write the slope-intercept form of a linear equation.

Back

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

Front

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

Back

A linear function has a constant rate of change and graphs as a straight line, while a nonlinear function does not have a constant rate of change and can graph as a curve.

Front

How do you determine if a relation is a function?

Back

A relation is a function if every input (x-value) has exactly one output (y-value).

Front

What does the term 'domain' refer to in a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

Front

What does the term 'range' refer to in a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How can you represent a function using a table?

Back

A function can be represented in a table by listing input values in one column and their corresponding output values in another column.