Question 42

The number of points where the function

$$f(x) = \begin{cases}(x + 1)^4 & x \leq 1\\(x - 5)^2 & x > 1\end{cases}$$ attains its local maximum is

Solution

Share

For $$x\le\ 1$$ the graph of the function is an upward parabola that attains its min at x = -1 and value is 0, at x = 1 its value is 16

Similarly for $$x>1$$ we see that its upward parabola which has value of 16 at x= 1 and decreases till x=5 at which its value is 0. After which the values increases again.

It can be seen local maxima is attained at x=1 only

Get AI Help

View More Questions From Functions, Graphs and Statistics

Create a FREE account and get:

  • All Quant Formulas and shortcuts PDF
  • 40+ previous papers with solutions PDF
  • Top 500 MBA exam Solved Questions for Free

PGDBA Quant Questions | PGDBA Quantitative Ability

PGDBA Number Series QuestionsPGDBA Geometry QuestionsPGDBA Simple Interest Compound Interest QuestionsPGDBA Progressions and Series QuestionsPGDBA Time Speed Distance QuestionsPGDBA Miscellaneous QuestionsPGDBA Algebra QuestionsPGDBA Probability, Combinatorics QuestionsPGDBA Inequalities QuestionsPGDBA Percentages QuestionsPGDBA Mensuration QuestionsPGDBA Functions, Graphs and Statistics QuestionsPGDBA Averages QuestionsPGDBA Time, Speed and Distance QuestionsPGDBA Profit and Loss QuestionsPGDBA Time And Work QuestionsPGDBA Data Sufficiency QuestionsPGDBA Coordinate Geometry QuestionsPGDBA Number Systems QuestionsPGDBA Remainders QuestionsPGDBA Profit And Loss QuestionsPGDBA Averages, Ratio and Proportion QuestionsPGDBA Venn Diagrams QuestionsPGDBA Arithmetic QuestionsPGDBA Logarithms QuestionsPGDBA Linear Equations QuestionsPGDBA Logarithms, Surds and Indices QuestionsPGDBA Quadratic Equations QuestionsPGDBA Averages Mixtures Alligations Questions

PGDBA DILR Questions | LRDI Questions For PGDBA

PGDBA Routes And Networks QuestionsPGDBA Charts QuestionsPGDBA Coins and Weights QuestionsPGDBA Quant Based LR QuestionsPGDBA Venn Diagrams QuestionsPGDBA Arrangement QuestionsPGDBA Selection With Condition QuestionsPGDBA Games and Tournaments QuestionsPGDBA Puzzles QuestionsPGDBA Data change over a period QuestionsPGDBA Miscellaneous LR QuestionsPGDBA DI Miscellaneous QuestionsPGDBA Scheduling QuestionsPGDBA Table based DI Sets QuestionsPGDBA Maxima-Minima QuestionsPGDBA DI with connected data sets QuestionsPGDBA Data Interpretation QuestionsPGDBA 2D & 3D LR QuestionsPGDBA Quant Based DI QuestionsPGDBA Data Interpretation Basics QuestionsPGDBA Truth Lie Concept QuestionsPGDBA Special Charts Questions

PGDBA Verbal Ability Questions | VARC Questions For PGDBA

PGDBA Critical Reasoning QuestionsPGDBA Para Jumbles QuestionsPGDBA Para Summary QuestionsPGDBA Reading Comprehension QuestionsPGDBA Verbal Ability QuestionsPGDBA Grammar and Sentence Correction QuestionsPGDBA Vocabulary QuestionsPGDBA Odd One Out Questions

Free PGDBA Quant Questions

PGDBA Progressions and SeriesPGDBA Logarithms, Surds and IndicesPGDBA PercentagesPGDBA Linear EquationsPGDBA Number SystemsPGDBA MiscellaneousPGDBA ArithmeticPGDBA Averages, Ratio and ProportionPGDBA Simple Interest Compound InterestPGDBA Quadratic EquationsPGDBA Number SeriesPGDBA AveragesPGDBA Venn DiagramsPGDBA Time, Speed and DistancePGDBA Profit and LossPGDBA Functions, Graphs and StatisticsPGDBA Time Speed DistancePGDBA GeometryPGDBA Coordinate GeometryPGDBA AlgebraPGDBA RemaindersPGDBA InequalitiesPGDBA Averages Mixtures AlligationsPGDBA Probability, CombinatoricsPGDBA Data SufficiencyPGDBA MensurationPGDBA LogarithmsPGDBA Time And WorkPGDBA Profit And Loss

Book Free CAT Mentorship

Get personalized CAT strategy from a 99%iler

500+ students mentored
CAT mentor

Join CAT 2026 course by 5-Time CAT 100%iler

Start your IIM journey with the right preparation and crack CAT 2026.

Enroll Now
Ask AI