Unit 1 Functions Review

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the notation for a function?

Back

Functions are typically denoted by letters such as f, g, and h, followed by parentheses containing the input value, e.g., f(x).

Front

What does it mean for a function to be even?

Back

A function is even if f(-x) = f(x) for all x in the domain, meaning its graph is symmetric about the y-axis.

Front

What does it mean for a function to be odd?

Back

A function is odd if f(-x) = -f(x) for all x in the domain, meaning its graph is symmetric about the origin.

Front

How do you find the composition of functions?

Back

To find the composition of functions f and g, denoted as f(g(x)), you substitute g(x) into f.

Front

What is the inverse of a function?

Back

The inverse of a function f is a function that reverses the effect of f, denoted as f^(-1), such that f(f^(-1)(x)) = x.

Front

What is a piecewise function?

Back

A piecewise function is defined by different expressions based on the input value, often represented in segments.

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the input value into the function's expression.

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.