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 f(x) represent in a function?

Back

f(x) represents the output of the function f for a given input x.

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the value of the variable into the function's equation.

Front

Evaluate f(x) = 4x + 5 when x = 4.

Back

f(4) = 4(4) + 5 = 21.

Front

What is the process to find the inverse of a function?

Back

To find the inverse of a function, swap the input and output values and solve for the new output.

Front

Evaluate f(x) = x + 3 when f(x) = -5.

Back

Set x + 3 = -5, then x = -8.

Front

What is the significance of 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

Evaluate g(x) = 11 - x when g(x) = -7.

Back

Set 11 - x = -7, then x = 18.

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

Evaluate f(x) = 3x^2 - 11 when x = -5.

Back

f(-5) = 3(-5)^2 - 11 = 64.