The correct answer is option D. Which is the even function is f (x) = x⁴.
<h3>What is an even function?</h3>
The function in which when the sign of the input variable is changed the output remains the same is called the even function. Mathematically we can write it as f(x) = f(-x ).
let us check the given four options:-
A f(x) = √x ; f(-x) = √-x here f(x) ≠ f(-x)
B f(x) = x ; f(-x) = -x here f(x) ≠ f(-x)
C f(x) = x³ + 1 ; f(-x) = -x³ + 1 here f(x) ≠ f(-x)
D f(x) = x⁴ ; f(-x) = (-x)⁴ = x⁴ here f(x) = f(-x)
We can see that in the option D the f(x) = x⁴ is an even function because f(x) = f(-x).
Therefore the correct answer is option D. Which is the even function is f (x) = x⁴.
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Answer:
64
Step-by-step explanation:
SInce the students at the door had to pay twice as much as the students who payed in advance, you would do 32*2=64
It goes in 56 times. 448/8=56
Answer:
x=10
A = 84
Step-by-step explanation:
A and B are supplementary angles so they add to 180 degrees
A + B =180
2x+76 + 5x+34 = 180
Combine like terms
7x+ 110 = 180
7x+110-110 = 180-110
7x = 70
Divide by 7
x = 10
Now find A
A = 5x+34
A = 5*10 +34
= 50+34
A = 84