Q5. - Algebra 1

Question

State whether each sentence is true or false. If false, replace the underlined term to make a true sentence.

In a function, there is exactly one output for each input.

Step-by-Step Solution

Answer

The statement ‘’ In a function, there is exactly one output for each input’’ is true.

Step 1. Given information.

The statement ‘’In a function, there is exactly one output for each input.’’

To show that this statement is true or false.

Step 2. Function.

If every input has exactly one output then that relation is called function.

But if anyone input has two or more than output then that relation is not a function.

As $f\left(x\right)=x$ is a function because every input has exactly one output.

$f\left(y\right)=x=y^2$ is not a function because every input has two output

Such that $x=2$ if $y=\pm \surd 2$ then

Step 3. Conclusion.

If every input has exactly one output that is called function.

Hence, the given statement is true.