Mathematics - Continuity - Differentiability Question with Solution | TestHub

MathematicsContinuity - DifferentiabilityDifferentiabilityHard2 minai-gemini

MathematicsHardnumerical range

Passage / Comprehension

Consider a function $f : R \to R$ defined as $f (x) = min {∣ x^{2} - 4∣, ∣ x^{2} - 2 x ∣}$ . This function combines absolute value expressions and a minimum operator, requiring careful analysis of its behavior across different intervals.

Let S be the set of all values of K for which the equation f(x) = K has exactly five distinct real solutions . if S = (a,b) then find the value of 16 (a+ b)

Answer:

16.00

Solution:

The function is $f (x) = min {∣ x^{2} - 4∣, ∣ x^{2} - 2 x ∣}$ . Let $g (x) = ∣ x^{2} - 4∣$
draw the graph and check .

Stream:JEESubject:MathematicsTopic:Continuity - DifferentiabilitySubtopic:Differentiability

⏱ 2mℹ️ Source: ai-gemini

Doubts & Discussion

Loading discussions...