Why does a radical function with an even index only appear on one sode of the x-axis while a radical woth an odd index appears o
1 answer:
The right side of the x-axis represents positive domain and the left side of the x-axis represents a negative domain.
So a radical function with an even index could have a domain of x≥0, so that's why they only appear on the right side.
Whereas a radical function with an odd index has a domain of all real numbers, so they appear on both sides.
The easiest scenario to see why this is true is to test square root and cube root.
You can't have a square root (even index) of a negative number, but you can have a cube root (odd index) of a negative number.
Example: = UNDEFINED, ರ_ರ
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<h3>108 = 3³ × 2²</h3><h3>Further explanation</h3>
Let's recall following formula about Exponents and Surds:
<em>Let us tackle the problem!</em>
The number 108 could be represented in expanded form and exponent as following:
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Grade: High School
Subject: Mathematics
Chapter: Exponents and Surds
Keywords: Power , Multiplication , Division , Exponent , Surd , Negative , Postive , Value , Equivalent , Perfect , Square , Factor.
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To find the median, you will need to list the data from least to greatest and find the middle number.
19, 21, 23, 23, 28, 35, 45, 46, 51, 58, 60, 67
Cross out a number on both sides until you reach the middle number. In this case, we are left with 2 numbers that are in the middle since there is an even amount of numbers.
When you reach the time where you have two middle numbers, we have to find the average of those two numbers. Our two middle numbers are 35 and 45. Since we have to find the average of those two numbers, we can add them. (35 + 45 = 80). Now, since we have two middle numbers, we have to divide them by 2.
Answer:
19, 21, 23, 23, 28, 35, 45, 46, 51, 58, 60, 67
Cross out a number on both sides until you reach the middle number. In this case, we are left with 2 numbers that are in the middle since there is an even amount of numbers.
When you reach the time where you have two middle numbers, we have to find the average of those two numbers. Our two middle numbers are 35 and 45. Since we have to find the average of those two numbers, we can add them. (35 + 45 = 80). Now, since we have two middle numbers, we have to divide them by 2.
Answer:
4ˣ⁻¹ = 49 / 4
<h3>How to simplify an expression?</h3>The expressions can be simplified as follows;
Hence,
Therefore,
Finally,
2ˣ = 7
4ˣ⁻¹ = 2²⁽ˣ⁻¹⁾ = 2²ˣ ⁻ ² = 2²ˣ / 2² = (2ˣ)² / 2²
Therefore,
(2ˣ)² / 2² = 7² / 2² = 49 / 4
Hence,
4ˣ⁻¹ = 49 / 4
Finally, the is equal to
and for the second part 4ˣ⁻¹ = 49 / 4
learn more on simplification here: brainly.com/question/17513857
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