Functions SOL Review #2

Front

What is a function?

Back

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

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

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 equation and simplify.

Front

Given f(x) = 2x^2 + 5x - 17, find f(-1).

Back

f(-1) = -20.

Front

What is the notation for a function?

Back

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

Front

What does it mean for a function to be increasing?

Back

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

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing on an interval if, as the input values increase, the output values decrease.

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c.

Front

Given h(5) = 18, what does this represent?

Back

This means that when the input to the function h is 5, the output is 18.