4-3 Writing Functions

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input from a set of inputs.

Front

What is the independent variable in an experiment?

Back

The independent variable is the variable that is changed or controlled in a scientific experiment to test its effects on the dependent variable.

Front

What is the dependent variable in an experiment?

Back

The dependent variable is the variable that is measured or tested in an experiment, which is affected by the independent variable.

Front

How do you find the output of a function?

Back

To find the output of a function, substitute the input value into the function's equation.

Front

What does it mean if two variables are independent?

Back

Two variables are independent if the change in one variable does not affect the other variable.

Front

What does it mean if two variables are dependent?

Back

Two variables are dependent if the change in one variable affects the other variable.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where for each value of x, there is a corresponding value of f(x).

Front

What is the output of the function f(x) = 3x - 1 when x = 5?

Back

The output is f(5) = 3(5) - 1 = 15 - 1 = 14.

Front

What is the effect of increasing the temperature on the lifespan of a battery?

Back

Increasing the temperature generally decreases the lifespan of a battery.

Front

In the context of an experiment, what is a control variable?

Back

A control variable is a variable that is kept constant to ensure that the results are due to the independent variable.