Test Review- Domain, Range, Functions, Slope

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

Define domain in the context of functions.

Back

The domain of a function is the complete set of possible values of the independent variable (input) for which the function is defined.

Front

Define range in the context of functions.

Back

The range of a function is the complete set of possible values of the dependent variable (output) that results from using the function.

Front

What is the independent variable in a function?

Back

The independent variable is the variable that represents the input values of a function, which can be freely chosen.

Front

What is the dependent variable in a function?

Back

The dependent variable is the variable that represents the output values of a function, which depend on the independent variable.

Front

How do you find the slope of a line?

Back

The slope of a line is calculated by the formula: (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, showing a direct relationship.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, showing an inverse relationship.

Front

What is the slope of the line that passes through the points (3, 4) and (1, 2)?

Back

-1

Front

What is the slope of the line that passes through the points (10, 1) and (5, 2)?

Back

-1/5