Input / Output

Front

What is Input in a mathematical context?

Back

Input refers to the value or values that are put into a function or equation to produce an output.

Front

What is Output in a mathematical context?

Back

Output is the result or value that comes out of a function or equation after processing the input.

Front

What does the equation y = x + 8 represent?

Back

This equation shows a linear relationship where the output (y) is equal to the input (x) plus 8.

Front

If y = 2x, what is the output when the input is 4?

Back

The output is 8, because y = 2(4) = 8.

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input.

Front

How do you find the missing output in a function?

Back

To find the missing output, substitute the input value into the function's equation.

Front

What is a table of values in relation to functions?

Back

A table of values lists pairs of input and output values for a function.

Front

What does it mean to multiply by a constant in a function?

Back

Multiplying by a constant means that the output is scaled by that constant for each input.

Front

If a function is defined as f(x) = 3x, what is f(5)?

Back

f(5) = 3(5) = 15.

Front

What is the purpose of identifying patterns in input/output tables?

Back

Identifying patterns helps to understand the relationship between inputs and outputs, which can simplify problem-solving.