A function is a rule that assigns each value of the independent variable to exactly one value of the dependent variable. True or False

The answer is true
Let's imagine that we have the following function function:

\(y = x ^ 2\)
We have to:

Independent variable: x

Dependent variable: y

For x = -1:

\(y = (- 1) ^ 2 = 1\)
For x = 1:

\(y = (1) ^ 2 = 1\)
We observe that the independent variable can only obtain one result.

Answer:

True

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Anonymous Anonymous · Answer 2 · 2019-02-13T04:36:47-05:00

Solution:

Let me define the term function first, A function is a rule or mapping such that each value in the domain called preimage has unique image in range.

For example , S={(1,2),(3,5)(6,5)(4,3)} is a function but two Same values in the Range have different Pre-images.

The ordered pair (x,y) has x= Domain , and y= Range.

If, y=x +5, here x is an independent variable and y is a dependent variable. For different x values ,we get unique y value.

So, Yes the Statement is true that , A function is a rule that assigns each value of the independent variable to exactly one value of the dependent variable.