Function Test Review #2

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 corresponding y-value.

Front

How do you evaluate a function?

Back

To evaluate a function, substitute the given input value into the function's equation and simplify to find the output.

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 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 does it mean for a relation to be a function?

Back

A relation is a function if each input is paired with exactly one output. If an input is paired with multiple outputs, it is not a function.

Front

How do you determine if a relation is a function?

Back

You can use the vertical line test: if a vertical line intersects the graph of the relation at more than one point, it is not a function.

Front

What is an increasing interval in a function?

Back

An increasing interval is a range of x-values where the function's output (y-value) is rising as x increases.

Front

What is a decreasing interval in a function?

Back

A decreasing interval is a range of x-values where the function's output (y-value) is falling as x increases.

Front

What is the notation for a function?

Back

Functions are often denoted by letters such as f, g, or h, followed by the input in parentheses, e.g., f(x).

Front

How do you find the output of a function at a specific input?

Back

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