what is the range of f(x)=x^2-|x|
Answers
Answer:
Since the value of x is squared, f(x) will always be equal or greater than 0.
The range is [0,infinity).
The bracket, [, means includes 0 in this definition.
Therefore x cannot equal 1 or -1.
The square root also requires a positive value.
x^2-1>0
x^2>1
x>1 and x < -1
Since the output of the square root function is also always positive,
the range is also positive.
As x grows large, either negative or positive, f(x) goes to zero.
The range is (0,infinity).
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Step-by-step explanation:
Answer:
Answer:
Since the value of x is squared, f(x) will always be equal or greater than 0.
The range is [0,infinity).
The bracket, [, means includes 0 in this definition.
Therefore x cannot equal 1 or -1.
The square root also requires a positive value.
x^2-1>0
x^2>1
x>1 and x < -1
Since the output of the square root function is also always positive,
the range is also positive.
As x grows large, either negative or positive, f(x) goes to zero.
The range is (0,infinity).
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