A function assigns the values. The range of the function will be between (-∞,10].
<h3>What is a Function?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
The given function f(x)=10-x² is a parabolic function that is negative, therefore, will open downwards. Now, the range of the function can be found as,
f(x)=10-x²
y=10-x²
y-10 = -x²
-y+10 = x²
-y + 10 = 0
y = 10
Thus, the range of the function will be between (-∞,10].
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A). |x| = |-x|
This is always true.
The definition of 'absolute' value is 'size of the number without its sign'.
That's what this expression says.
b). |x| = -|x|
This is never true, because an absolute value is never negative.
This one would true if x=0 . So maybe some people might say
it's sometimes true, but that doesn't feel right to me. I say never.
c). |-x| = -|x|
This looks to me like exactly the same situation as (b),
and I would say all the same things about it.
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