Is it a function

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one and only one y-value.

Front

What is the vertical line test?

Back

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

Front

What does it mean if a table is not a function?

Back

If a table is not a function, it means that at least one input (x-value) corresponds to multiple outputs (y-values).

Front

How can you tell if a mapping is a function?

Back

A mapping is a function if each input is paired with exactly one output. If any input has more than one output, it is not a function.

Front

What is the output of f(0) if f(x) = 2x + 4?

Back

The output of f(0) is 4.

Front

What is an example of a function?

Back

An example of a function is f(x) = x^2, where each input x has a unique output x^2.

Front

What is an example of a relation that is not a function?

Back

An example of a relation that is not a function is the set of points {(1, 2), (1, 3)}, where the input 1 has two different outputs.

Front

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

Back

If a graph passes the vertical line test, it means that for every x-value, there is only one corresponding y-value, confirming it is a function.

Front

What is the significance of the y-intercept in a function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, representing the output when the input is zero.

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.