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Sever21 [200]
2 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]2 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.

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Amy cut a piece of yarn 3.05 inches long for a bracelet she was making. Which length is equivalent to 3.05 inches?
Lesechka [4]
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C. 3 1/20

Step-by-step explanation:

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Find the equation of the line passing through the points (3,-2) and (4,6) in slope intercept form.​
noname [10]

Hey!

------------------------------------------------

They already give us the slope, so we can solve the y-intercept.

We can use (3, -2).

y = 8x + b

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-2 - 24 = 24 + b - 24

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Hence, the answer is \Large\boxed{\mathsf{y~=~8x~+~-26}}

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Hope This Helped! Good Luck!

4 0
3 years ago
(5x + 7)(5x – 7)<br> Foil method
Pavlova-9 [17]

Answer:

25x-49

Step-by-step explanation:

5x×5x=25x 5x×-7= -35x

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(combine like terms)25x+-35x+35x= 25

hope that helped you!

6 0
3 years ago
Can you pllllsssssss help meeeeee
d1i1m1o1n [39]

Answer:

0

Step-by-step explanation:

find mean : 2+3+4+7 divided by 4 equals 4

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find mean with new numbers: -2+-1+3+0 divided by 4 equals 0 (everything cancels out)

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2 years ago
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