Function Machine

Front

What is a function machine?

Back

A function machine is a conceptual model used to describe how a function takes an input, processes it, and produces an output.

Front

Define the term 'input' in the context of functions.

Back

Input refers to the value that is fed into a function machine to be processed.

Front

Define the term 'output' in the context of functions.

Back

Output is the result produced by a function after processing the input.

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

If f(x) = x + 3, what is f(-2)?

Back

f(-2) = -2 + 3 = 1.

Front

What is the purpose of evaluating a function?

Back

Evaluating a function allows us to find the output for a specific input.

Front

If g(x) = 11 - x, what is g(4)?

Back

g(4) = 11 - 4 = 7.

Front

How do you find the value of x when given f(x) = c?

Back

To find x, set the function equal to c and solve for x.

Front

If f(x) = 2x - 5, what is f(5)?

Back

f(5) = 2(5) - 5 = 10 - 5 = 5.

Front

What is the relationship between input and output in a function?

Back

In a function, each input is associated with exactly one output.