Linear Functions - Algebra 1

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 vertical line test?

Back

The vertical line test is a method to determine if a curve is a graph of a function. If any vertical line intersects the graph more than once, 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 rise over run (change in y over change in x).

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What does the equation y = mx + b represent?

Back

This is the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

Front

How do you find the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that result from substituting the domain values (x-values) into the function.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to locate a point on a coordinate plane, written in the form (x, y).

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a fraction of two integers, and its decimal representation is non-repeating and non-terminating.

Front

What does it mean for a point to be a solution of a linear equation?

Back

A point (x, y) is a solution of a linear equation if substituting x into the equation yields the corresponding y value.

Front

What is the domain of a function?

Back

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