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

How do you evaluate a function?

Back

To evaluate a function, substitute the input value into the function's equation and simplify to find the output.

Front

What does it mean to evaluate f(x) at x = a?

Back

It means to find the value of the function f when the input x is equal to a.

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

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, typically in the form f(x) = mx + b.

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 difference between a function and a relation?

Back

A function is a specific type of relation where each input is associated with exactly one output, while a relation can have multiple outputs for a single input.

Front

What is function notation?

Back

Function notation is a way to denote functions using symbols, typically written as f(x), where f represents the function and x is the input.

Front

How do you find the value of a function at a specific point?

Back

Substitute the specific point into the function's equation and simplify to find the corresponding output value.