Functions

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

How can you determine if a set of ordered pairs is a function?

Back

A set of ordered pairs is a function if no two different ordered pairs have the same first element (x-value).

Front

Evaluate f(2) if f(x) = x^2 - 8.

Back

f(2) = 2^2 - 8 = 4 - 8 = -4.

Front

Evaluate f(3) if f(x) = x^2 - 8.

Back

f(3) = 3^2 - 8 = 9 - 8 = 1.

Front

What is the result of f(2) - f(3) if f(x) = x^2 - 8?

Back

f(2) - f(3) = -4 - 1 = -5.

Front

What is the definition of 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

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola represented by the quadratic function.

Front

What does it mean for a function to be continuous?

Back

A function is continuous if there are no breaks, jumps, or holes in its graph.

Front

What is an absolute maximum of a function?

Back

An absolute maximum is the highest point over the entire domain of the function.

Front

What is an absolute minimum of a function?

Back

An absolute minimum is the lowest point over the entire domain of the function.