What is domain restrictions and what causes them?

1 answer:

8 0

Domain restrictions are values of x which are not acceptable in a function.

They may be arbitrary because we simply want to ignore them. eg y = x^2 between 0 and 4

They may make no sense in the context, eg graph a compounding investment over next 20 years.
Negative values for x make sense here.

They may avoid mathematical impossibilities eg y = (x^2 - 4x) / (x - 4) which must avoid dividing by zero, so x cannot = 4.
The graph will look like the line y = x but have a hole where x= 4

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The product of two rational numbers is irrational.

PtichkaEL [24]

Answer:

The statement is false.

Step-by-step explanation:

Here we need to remember some things:

Integer numbers are closed under multiplication.

This means that for two integers a and b, the product a*b is also an integer.

A rational number is a number that can be written as the quotient of two integer numbers.

An irrational number is a number that can't be written as the quotient of two rational numbers.

Now let's see the statement:

"The product of two rational numbers is irrational."

The product of two rational numbers is written as:

$\frac{a}{b} *\frac{c}{d}$

Where a, c, b, and d are integers.

We can rewrite that product as:

$\frac{a*c}{b*d}$

Because of the first property, we know that a*c is an integer, and b*d is also an integer, so here we have a quotient of two integer numbers, so this is a rational number.

Then the product of two rational numbers is a rational number.

Then the statement is false.

7 0

2 years ago

Someone pls pls pls help ASAP <br> I’ll give brainliest I promise just pls help me

Brums [2.3K]

Answer:

Answer attached below.