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 input into the function's equation and simplify.

Front

What is the value of f(x) if f(x) = -x + 3 and f(x) = 7?

Back

The value of x is -4.

Front

Evaluate f(x) = x^2 - 5x at x = 4.

Back

f(4) = -4.

Front

What is the formula for a quadratic function?

Back

A quadratic function is generally expressed as f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

How do you find the value of f(-5) for f(x) = 3x^2 - 11?

Back

f(-5) = 64.

Front

What is the output of g(x) = 11 - x when g(x) = -7?

Back

The value of x is 18.

Front

If f(x) = x + 3 and f(x) = -5, what is the value of x?

Back

The value of x is -8.

Front

What is the significance of the domain in a function?

Back

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