Given that F X is an even function defined on R, when x > = 0, f (x) = (x-1) 3 + 1, find the analytic expression of F (x)
When x < 0
F (x) = f (- x)
=(-x-1)^3+1
=-(x+1)^3+1
The analytic expression of the function is f (x) = (x-1) ^ 3 + 1 (x ≥ 0)
==-(x+1)^3+1 (x<0)
Answers to the winter vacation homework of grade two in primary school
What radical can form a new word with yuan, Yu, Dong, yuan and Mu at the same time
What Pianpang can form a new word with Ding, Shan, ran, LAN and Zha at the same time
Yuan, Yu, Dong, member, wood is "mouth"
Ding, Shan, ran, LAN, at first fire
Any non-zero natural number has at least two factors______ (judge right or wrong)
There is only one factor in natural number 1, so the answer is ×
If the expansion of (x ^ 2 + NX + 3) × (x ^ 2 - 3x + m) does not contain x ^ 2 and x ^ 3 terms, find the value of m-3n
Be more specific
(x^2+nx+3)(x^2-3x+m)
=x^4+(n-3)x^3+(m-3n+3)x^2+(mn-9)x+3m
If x ^ 2 and x ^ 3 are not included, the two coefficients are 0
n-3=0
m-3n+3=0
therefore
n=3
m=3m-3=6
Fill in the numbers 1, - 2, 4______ ,______ .
-8,16
If the sum of any five natural numbers is even, how many even numbers are there at least?
The sum of even and odd numbers is even
So the number of odd numbers is even
Up to 4 odd numbers, then at least 1 even number
What's wrong with the sentence "the fourth root of 16 is 2"?
Why is this sentence wrong
The answer to this question should be + 2 or - 2
Reason: the fourth power of (+ 2) is equal to 16, and the fourth power of (- 2) is equal to 16
There is a pile of chemical fertilizer in the warehouse, which carries 45 tons and the remaining two fifths. The two times transport is the same as the rest. How many tons of chemical fertilizer are there?
Let the total amount be x tons
In the first two times, 0.5x was transported
45+(X-45)*0.4=0.5X
The solution is x = 270
Find the decreasing interval of function f (x) = 3sin (- 2x + π / 4)
Because 3 > 0,
So let f (x) = 3sin (- 2x + π / 4) be minus
Then there is π / 2 + 2K π
A group of students take a group photo at the school gate. It is known that it costs 0.6 yuan to develop a negative film and 0.4 yuan to develop a photo. Everyone gets a photo, and the average share of each person is not more than 0.5 yuan. How many students will take the group photo?
There are at least X students participating in the group photo, according to the meaning of the question: 0.6 + 0.4xx ≤ 0.5, ∵ x is a positive integer, ∵ 0.6 + 0.4x ≤ 0.5x, the solution is: X ≥ 6, answer: there are at least 6 students participating in the group photo