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:
x=6
Step-by-step explanation:
First you have to subtract 8 from 22 and you get -14. Then you rewrite the equation, 2x-14=-2.
Since your subtracting 14 you would add 14 to both sides, so -14+14 and -2+14. -2+14 will turn out to be 12 and then you divide 2 from both sides, so 2x-2 and 12-2.
Your answer will be x=6
Answer: The range is the set {8, 3, 2, -7} which can be sorted to get {-7, 2, 3, 8}
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Explanation:
The range is simply the set of possible y values. All you have to do is list all the y coordinates and surround the values in curly braces. The curly braces indicate a set. Every point is of the form (x,y). The y coordinate is the second value listed of each ordered pair.
Answer:
x =(4-√40)/6=(2-√ 10 )/3= -0.387
x =(4+√40)/6=(2+√ 10 )/3= 1.721
Step-by-step explanation: Hope this helped!!!
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Equation of a line;
y=mx+c
m=5
y=5x+c
Replacing for x and y using point (-2, -1)
-1=5(-2)+c
-1=-10+c
c=-1+10
c=9
y=5x+9
