Functions, Functions, Functions!

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 vertical line test?

Back

A graph passes the vertical line test if no vertical line intersects the graph at more than one point, indicating that each input has only one output.

Front

What is a function notation?

Back

Function notation is a way to represent a function using symbols, typically written as f(x), where 'f' is the function name and 'x' is the input variable.

Front

What does h(4) = 500,000 represent in a function?

Back

It means that after 4 hours, the function h(t) indicates that the output value is 500,000, representing the amount made.

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 an example of a linear function?

Back

An example of a linear function is f(x) = 2x + 3, which represents a straight line when graphed.

Front

What is the difference between independent and dependent variables?

Back

The independent variable is the input of a function (often x), while the dependent variable is the output (often y) that depends on the input.

Front

What does it mean if a function is increasing?

Back

A function is increasing if, as the input values increase, the output values also increase.

Front

What is a constant function?

Back

A constant function is a function that does not change; it has the same output for every input, represented as f(x) = c, where c is a constant.

Front

What is the significance of the x-intercept of a graph?

Back

The x-intercept is the point where the graph crosses the x-axis, indicating the value of x when the output (y) is zero.