Math 8 Flashcard Review on Relations and Functions

Front

What is a function in mathematics?

Back

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

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 (input) with different second elements (outputs).

Front

What are the domain and range of a function?

Back

The domain is the set of all possible input values (x-values), while the range is the set of all possible output values (y-values).

Front

What does it mean if a relation is 'not a function'?

Back

It means that there exists at least one input that corresponds to multiple outputs.

Front

How do you identify the domain from a set of ordered pairs?

Back

The domain can be identified by listing all the unique first elements (x-values) from the ordered pairs.

Front

How do you identify the range from a set of ordered pairs?

Back

The range can be identified by listing all the unique second elements (y-values) from the ordered pairs.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function; if a vertical line intersects the curve at more than one point, it is not a function.

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

How do you find the slope of a line given two points?

Back

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

Front

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

Back

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