What is the Domain and Range?

Mathematics

1 answer:

arlik [135]3 years ago

8 0

Answer:

<h2><em><u>Domain = (-∞, ∞) Range = (-∞, ∞) </u></em></h2><h2>Step-by-step explanation:</h2><h2>The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.</h2><h2>Interval Notation:</h2><h2>(−∞,∞)</h2><h2>Set-Builder Notation:</h2><h2>{x|x∈R}</h2><h2>The range is the set of all valid y</h2><h2>values. Use the graph to find the range.</h2><h2>Interval Notation:</h2><h2>(−∞,∞)</h2><h2>Set-Builder Notation:</h2><h2>{y|y∈R}</h2><h2>Determine the domain and range.</h2><h2>Domain: (−∞,∞),{x|x∈R}</h2><h2>Range: (−∞,∞),{y|y∈R}</h2><h2>image of graph</h2><h2 />

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Which of the following statements is false?

kramer

Option D

The sum of two irrational numbers is always rational is false statement

<em><u>Solution:</u></em>

<h3><u>The sum of two rational numbers is always rational</u></h3>

"The sum of two rational numbers is rational."

So, adding two rationals is the same as adding two such fractions, which will result in another fraction of this same form since integers are closed under addition and multiplication. Thus, adding two rational numbers produces another rational number.

For example:

$\frac{1}{4} + \frac{1}{5} = \frac{9}{20}$

rational number + rational number = rational number

Hence this statement is true

<h3><u>The product of a non zero rational number and an irrational number is always irrational</u></h3>

If you multiply any irrational number by the rational number zero, the result will be zero, which is rational.

Any other situation, however, of a rational times an irrational will be irrational.

A better statement would be: "The product of a non-zero rational number and an irrational number is irrational."

So this statement is correct

<h3><u>The product of two rational numbers is always rational</u></h3>

The product of two rational numbers is always rational.

A number is said to be a rational number if it is of the form p/q,where p and q are integers and q ≠ 0

Any integer is a rational number because it can be written in p/q form.

Hence it is clear that product of two rational numbers is always rational.

So this statement is correct

<h3><u>The sum of two irrational numbers is always rational</u></h3>

"The sum of two irrational numbers is SOMETIMES irrational."

The sum of two irrational numbers, in some cases, will be irrational. However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational.

Thus this statement is false

5 0

3 years ago

Describe the order of operations you would use to

meriva

First apply the exponent: 3 ^ 2
9
Then we do the multiplication: 4 * 9 = 36
Finally we add
8 + 36 = 44

7 0

2 years ago

Plz help me with both questions pllllz

stich3 [128]

The differences is 7 because I counted.

5 0