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.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

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

Back

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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What does f(x) represent in a function?

Back

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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

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

Back

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

Tags

CCSS.HSF.IF.A.2

Front

What is the purpose of evaluating a function?

Back

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

Tags

CCSS.HSF.IF.A.2

Front

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

Back

g(4) = 11 - 4 = 7.

Tags

CCSS.HSF.IF.A.2

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.

Tags

CCSS.HSF.IF.A.2

Front

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

Back

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

Tags

CCSS.HSF.IF.A.2

Front

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

Back

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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1