Answer:
In general, we determine the domain of each function by looking for those values of the independent variable (usually x) which we are allowed to use. (Usually we have to avoid 0 on the bottom of a fraction, or negative values under the square root sign).
The range of a function is the spread of possible y-values (minimum y-value to maximum y-value)
Substitute different x-values into the expression for y to see what is happening. (Ask yourself: Is y always positive? Always negative? Or maybe not equal to certain values?)
Make sure you look for minimum and maximum values of y.
Draw a sketch! In math, it's very true that a picture is worth a thousand words.
Step-by-step explanation: hope this helps <3
Answer:
Step-by-step explanation:
Let:
This allows us to manipulate the equations like we normally would.
Then, we return the values where they belong.
Finally, we add:
Answer:
Rational
Step-by-step explanation:
Two broad categories of Real Numbers is:
- Rational Numbers
- Irrational Numbers
Rational numbers are those which can be written in the form of a fraction. When written in form of a decimal, these numbers terminate after few decimals or have a pattern that runs throughout the decimals.
Irrational numbers cannot be written in form of fractions. When written in the form of a decimal numbers, these numbers do not terminate(end) and do not show any pattern.
So, from the above discussion, we can conclude that the answer in the blank will be Rational. Fractions or decimals that stop are known as Rational numbers.
Answer:
So the number of ways of choosing two distinct letters at a time is (42)=6. We can then add the duplicate pairs which are O,O and N,N to give a total of 8 possible pairs.
