Review and Practice (Domains, Range, Writing Linear Equations)

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 a vertical line intersects the graph at more than one point, then 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 change in the y-coordinate divided by the change in the x-coordinate (rise over run).

Front

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

Back

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

Front

What is the range of a function?

Back

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

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.

Front

What does it mean for a graph to pass the horizontal line test?

Back

A graph passes the horizontal line test if any horizontal line drawn through the graph intersects it at most once, indicating that the function is one-to-one.

Front

What is the formula for writing a linear equation in slope-intercept form?

Back

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

Front

How do you find the y-intercept of a linear equation?

Back

The y-intercept is found by setting x = 0 in the equation of the line and solving for y.

Front

What is the difference between the domain and range of a function?

Back

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