Review: Function Graphs

Front

What is an absolute value function?

Back

An absolute value function is a piecewise function defined as f(x) = |x|, which outputs the non-negative value of x. Its graph forms a V shape.

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, where a ≠ 0. Its graph is a parabola.

Front

What is the domain of a square root function?

Back

The domain of a square root function f(x) = √x is x ≥ 0, meaning it only includes non-negative real numbers.

Front

What is a rational function?

Back

A rational function is a function that can be expressed as the ratio of two polynomials, f(x) = P(x)/Q(x), where Q(x) ≠ 0.

Front

What does it mean for a function to have a negative leading coefficient?

Back

A function has a negative leading coefficient if the term with the highest degree has a negative coefficient, which affects the end behavior of the graph.

Front

What is the increasing interval of a function?

Back

The increasing interval of a function is the range of x-values over which the function's output values (y-values) are rising.

Front

How do you identify the vertex of a quadratic function?

Back

The vertex of a quadratic function in standard form f(x) = ax^2 + bx + c can be found using the formula x = -b/(2a).

Front

What is the range of an absolute value function?

Back

The range of an absolute value function f(x) = |x| is y ≥ 0, meaning it includes all non-negative real numbers.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x-value) is associated with exactly one output (y-value).

Front

What is a piecewise function?

Back

A piecewise function is a function defined by multiple sub-functions, each applying to a certain interval of the domain.