1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sever21 [200]
3 years ago
6

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

n both sides?
Mathematics
1 answer:
Vladimir79 [104]3 years ago
3 0

Consider the equation y = x^2. No matter what x happens to be, the result y will never be negative even if x is negative. Example: x = -3 leads to y = x^2 = (-3)^2 = 9 which is positive.

Since y is never negative, this means the inverse x = sqrt(y) has the right hand side never be negative. The entire curve of sqrt(x) is above the x axis except for the x intercept of course. Put another way, we cannot plug in a negative input into the square root function for this reason. This similar idea applies to any even index such as fourth roots or sixth roots.

Meanwhile, odd roots such as a cube root has its range extend from negative infinity to positive infinity. Why? Because y = x^3 can have a negative output. Going back to x = -3 we get y = x^3 = (-3)^3 = -27. So we can plug a negative value into the cube root to get some negative output. We can get any output we want, negative or positive. So the range of any radical with an odd index is effectively the set of all real numbers. Visually this produces graphs that have parts on both sides of the x axis.

You might be interested in
What is the measure of angle z in this figure?<br><br><br><br> Enter your answer in the box.
rjkz [21]
<z = 180 - 43
<z = 137

answer
<z = 137 degrees
3 0
3 years ago
What is 2 + 2, minus 4?
Archy [21]

Answer:

0

Step-by-step explanation:

2 + 2 = 4 and then 4 - 4 = 0

8 0
3 years ago
Read 2 more answers
1. if the bearing of p from y is 048° what is the bearing of y from p .
Helen [10]

Answer:

See below and image

Step-by-step explanation:

180 + 48 = 228

180 + 55 = 235

5 0
1 year ago
22.a) A fruit vendor bought 1948 oranges on a Thursday and sold 750 of them on the same day.
iVinArrow [24]

Answer: Ksh 6144

Step-by-step explanation:

On Thursday, a fruit vendor bought 1948 oranges on a Thursday and sold 750. The number of oranges left will be: = 1948 - 750 = 1198

On n Friday, he sold 240 more oranges than on Thursday. This means the number of oranges sold is: = 240 + 750 = 990.

The number for f oranges left will then be: = 1198 - 990 = 208

On Saturday, he bought 560 more

oranges, the total oranges that the vendor has now will be:

= 208 + 560 = 768

Since sold all the oranges he had at a price of Ksh. 8 each, the amount if money made will be:

= Ksh 8 × 768

= Ksh 6144

The vendor made Ksh 6144

7 0
2 years ago
Will give 5 stars on your answer and a thank you.
DENIUS [597]

Answer:

the variable term is (t)

the answer is 13.50t

4 0
2 years ago
Read 2 more answers
Other questions:
  • How do I do this? PR bisects angle SPT. Find TR
    8·1 answer
  • 8x10 exponent -3 is how many times as great as 4x10 exponent -6
    11·1 answer
  • Let a set E ={0,2,4,6,8... } of non-negative even numbers and O = {1, 3, 5, 7, 9,...} of non-negative odd numbers then a) Cardin
    10·1 answer
  • A sphere has a diameter of 24 units. What is its volume in cubic units?
    14·1 answer
  • Can someone explain I’m confused on how to do this my teacher can’t teach me this has no time
    7·2 answers
  • if you decrease by a given percent and then increase by the same percent, will you be back where you started? how do you know
    13·1 answer
  • What is the factorization of the trinomial -x2 - 2x +48​
    11·1 answer
  • Please helppppppppppppp
    12·1 answer
  • If you sleep 8 hours out of 24 hours, what percent of the time do you sleep?
    11·2 answers
  • Write an integer to describe each situation:<br>The temperature is 15 degrees below zero​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!