If a graph cuts the x-axis at x=-10, x=-4, and x=6, what is the range of the zeroes?
Answer and explanation
Correct answer: 16
The relevant concept is the range of a set of real numbers, which is the greatest value minus the least value. The zeroes are -10, -4 and 6. The greatest zero is 6 and the least zero is -10. Therefore the range is 6-(-10)=6+10=16. The middle value -4 does not determine the range. Hence Option C is correct. Option A is the magnitude of the smallest zero, and Option B can arise from comparing only -4 and 8 or from an unrelated difference; it is not the full spread. Option D reverses the subtraction and gives a negative value, but a range is never negative.
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What is the correct answer to this question?
16
Why is this the correct answer?
The relevant concept is the range of a set of real numbers, which is the greatest value minus the least value. The zeroes are -10, -4 and 6. The greatest zero is 6 and the least zero is -10. Therefore the range is 6-(-10)=6+10=16. The middle value -4 does not determine the range. Hence Option C is correct. Option A is the magnitude of the smallest zero, and Option B can arise from comparing only -4 and 8 or from an unrelated difference; it is not the full spread. Option D reverses the subtraction and gives a negative value, but a range is never negative.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Geometrical meaning of the zeroes of a polynomial..
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