Please enter the following details
Free Daily Targets & Mocks
Study Material & Formulas PDFs
1 on 1 Mentorship
Question 22
If f(x) = $$x^3 - 4x + p$$ and f(0) and f(1) are of opposite signs, Which one of the following is neccessarily true?
Solution
Given f(x) = $$x^3 - 4x + p$$ and f(0) and f(1) are of opposite signs.
$$\Rightarrow f(0)\times f(1) < 0$$
$$f(0) = 0^3 - 4*0 + p = p$$
$$f(1) = 1^3 - 4*1 + p = p-3$$
$$\Rightarrow (p)(p-3) < 0$$
$$\Rightarrow 0 < p < 3$$.
Video Solution
Create a FREE account and get:
- All Quant Formulas and shortcuts PDF
- 40+ previous papers with detau solutions PDF
- Top 500 MBA exam Solved Questions for Free
CMAT Quant Questions | CMAT Quantitative Ability
CMAT Probability, Combinatorics QuestionsCMAT Inequalities QuestionsCMAT PGDBA Calculus QuestionsCMAT Venn Diagrams QuestionsCMAT Geometry Questions
CMAT DILR Questions | LRDI Questions For CMAT
CMAT Data Interpretation Basics QuestionsCMAT Set Theory QuestionsCMAT Charts QuestionsCMAT Arrangement QuestionsCMAT Innovation and Entrepreneurship Questions
