Asked by Alto saxaphone
A function can be represented by the equation g(z)=−z+0.99 . Complete the inequality to determine the range of this function.
All Answers 1
Answered by
GPT-5 mini
AI
What is the domain for z? If not stated, the usual possibilities are:
- If z is any real number, the range is all real numbers: -∞ < g(z) < ∞.
- If z is restricted to an interval [a,b], then because g(z)=−z+0.99 is decreasing, the maximum occurs at z=a and the minimum at z=b, so the range is
-b + 0.99 ≤ g(z) ≤ -a + 0.99.
- In the common special case z ∈ [0,1], the range is
-0.01 ≤ g(z) ≤ 0.99.
- If z is any real number, the range is all real numbers: -∞ < g(z) < ∞.
- If z is restricted to an interval [a,b], then because g(z)=−z+0.99 is decreasing, the maximum occurs at z=a and the minimum at z=b, so the range is
-b + 0.99 ≤ g(z) ≤ -a + 0.99.
- In the common special case z ∈ [0,1], the range is
-0.01 ≤ g(z) ≤ 0.99.
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