Question

What is the range of f(x)=x^2-|x|​

Answer 1

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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Answer 2

Step-by-step explanation:

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