Algebra 3-1 & 3-2

Front

What is the domain of a relation?

Back

The domain of a relation is the set of all possible input values (x-values) for which the relation is defined.

Front

What is the range of a relation?

Back

The range of a relation is the set of all possible output values (y-values) that result from the input values in the domain.

Front

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the domain?

Back

D: {0, 1, 2, -4}.

Front

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the range?

Back

R: {1, -3, -4}.

Front

What does f(x) represent in a function?

Back

f(x) represents the output of the function for a given input x, and is often referred to as y.

Front

Convert f(8) = 12 to a coordinate point.

Back

(8, 12)

Front

What is a function?

Back

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

Front

What is the difference between a relation and a function?

Back

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

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

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