Evaluating 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

What does it mean to evaluate a function?

Back

To evaluate a function means to calculate the output of the function for a specific input value.

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

How do you find f(x) for a given function?

Back

Substitute the value of x into the function's equation and simplify to find the output.

Front

What is the inverse of a function?

Back

The inverse of a function f, denoted f^-1, is a function that reverses the effect of f, meaning if f(a) = b, then f^-1(b) = a.

Front

How do you find the inverse of a linear function?

Back

To find the inverse of a linear function, swap the x and y variables and solve for y.

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

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 is the standard form of a quadratic function?

Back

The standard form is f(x) = a(x - h)^2 + k, where (h, k) is the vertex.

Front

What does the term 'domain' refer to in functions?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.