Assessment Independent and Dependent Variables

Front

What is a dependent variable?

Back

A dependent variable is a variable whose value depends on the value of one or more independent variables. In an experiment, it is what you measure or observe.

Front

What is an independent variable?

Back

An independent variable is a variable that is manipulated or changed in an experiment to test its effects on the dependent variable.

Front

In the equation m = f(d), which variable is dependent?

Back

d (the distance Sarah walks is the independent variable, while m (the amount of money raised) is the dependent variable).

Front

What is the vertical line test?

Back

The vertical line test is a method used to determine if a curve is a function. If a vertical line intersects the graph at more than one point, then the graph does not represent a function.

Front

Is the set {(3, 5), (-3, 5), (-1, 2), (6, 6), (2, 9)} a function?

Back

Yes, because each input (x-value) is unique.

Front

What does it mean for a relation to be a function?

Back

A relation is a function if every input has exactly one output.

Front

What is an example of a dependent variable in a scientific experiment?

Back

The growth of a plant (dependent variable) based on the amount of sunlight it receives (independent variable).

Front

What is an example of an independent variable in a scientific experiment?

Back

The amount of fertilizer used (independent variable) to see its effect on plant growth (dependent variable).

Front

If the distance Sarah walks increases, what happens to the amount of money she raises?

Back

The amount of money she raises (dependent variable) is likely to increase as the distance she walks (independent variable) increases.

Front

Can a function have the same output for different inputs?

Back

No, a function cannot have the same output for different inputs; each input must correspond to exactly one output.