Sign In
Ask Question
Ernest Wallace
Mathematics
24 December, 13:58
0≤x²≤2 how does one do this?
+3
Answers (
1
)
Phoenix Lara
24 December, 14:23
0
First, you may want to visualize what is happening here.
Graph y=x^2. The graph is that of a parabola that opens up. Draw a horizontal line through y=2 and another through y=0 (which is really the x-axis). Put dots where the curve intersects these lines.
Draw vertical lines through the two dots where the curve intersects the horiz. line y=2. Note where these two lines intersect the x-axis. From your graph, you can approximate the domain: it is roughly [-1.414, 1.414], or [-sqrt (2), - sqrt (2).
You could also take the sqrt of all 3 terms in the given inequality.
Then sqrt (0) ≤ sqrt (x²) ≤ sqrt (2), which is equivalent to 0 ≤ |x| ≤sqrt (2).
This allows for negative x in [-sqrt (2),).
The domain of this function is [-sqrt (2), + sqrt (2) ].
The range is 0 ≤ y ≤ 2.
Comment
Complaint
Link
Know the Answer?
Answer
Not Sure About the Answer?
Find an answer to your question 👍
“0≤x²≤2 how does one do this? ...”
in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers
You Might be Interested in
If f (x) = - x3 + 2x2 - 3, find f (2).
Answers (1)
What inverse operations are used to solve the equation? 2x + 2 = 10 (A.) Add 2 to both sides, then divide by 2 on both sides (B.) Add 2 to both sides, then multiply by 2 on both sides (C.
Answers (2)
tabitha has 2 1/6 pounds of flour. she will use 2/3 pound of flour to make pancakes. how many pounds of flour will be left?
Answers (1)
A sphere and a right cylinder have the same radius and volume. The cylinder has a height of 3 inches. Find the radius.
Answers (1)
In a work problem, the number 1 represents the total amount of work. True False
Answers (1)
New Questions in Mathematics
The number of measles cases increased 14.6% to 33 cases this year, what was the number of cases prior to the increase? (Express your answer rounded correctly to the nearest whole number)
Answers (2)
Does the following converge or diverge 7+28+112+448 + ...
Answers (1)
Amy has 72 Street and affection keeps one fourth of them for herself and she read the rest of their friends how many sweets will she get her friends
Answers (1)
The product of two numbers is 713. The first number is 9 more than the second number. Which equation can be used to find x, the greater number? x (x - 9) = 713 x (x + 9) = 713 x2 - 9 = 713 x2 + 9 = 713
Answers (1)
What is the division property of equality
Answers (1)
Home
»
Mathematics
» 0≤x²≤2 how does one do this?
Sign In
Sign Up
Forgot Password?