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

What is the value of f(4) if f(x) = 4x + 5?

Back

f(4) = 4(4) + 5 = 16 + 5 = 21.

Front

What is the value of f(4) if f(x) = 2x + 2?

Back

f(4) = 2(4) + 2 = 8 + 2 = 10.

Front

How do you find f(4) for the function f(x) = x^2 - 5x?

Back

f(4) = 4^2 - 5(4) = 16 - 20 = -4.

Front

What is the value of f(-5) if f(x) = x + 3?

Back

f(-5) = -5 + 3 = -2.

Front

How do you evaluate g(x) = 5 - 6x at x = -5?

Back

g(-5) = 5 - 6(-5) = 5 + 30 = 35.

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 (f(x) values) that the function can produce.