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Perplex
Dashboard
Topics
Exponents & LogarithmsApproximations & ErrorSequences & SeriesCounting & BinomialsProof and ReasoningComplex NumbersAlgebra Skills
Cartesian plane & linesQuadraticsFunction TheoryTransformations & asymptotesPolynomials
2D & 3D GeometryTrig equations & identitiesVectors
ProbabilityDescriptive StatisticsBivariate StatisticsDistributions & Random Variables
DifferentiationIntegrationDifferential EquationsMaclaurin
Review VideosFormula BookletMy Progress
BlogLanding Page
Sign UpLogin
Perplex
IB Math AAHL
/
Function Theory
/
Problem Bank
IB Math AAHL
/
Function Theory
/
Problem Bank

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[Maximum mark: 4]

Consider the rational function ​g(x)=x−cax+b​​ where ​a,b,c∈Z​ and ​x=c. The graph of ​y=g(x)​ is shown in the diagram below.

  1. Write down

    1. the value of ​a,

      To earn a crown, get your answer ready before you reveal the options!

    2. the value of ​c.

      [2]
  2. Find the value of ​b.

    [2]
[Maximum mark: 4]

Consider the rational function ​g(x)=x−cax+b​​ where ​a,b,c∈Z​ and ​x=c. The graph of ​y=g(x)​ is shown in the diagram below.

  1. Write down

    1. the value of ​a,

      To earn a crown, get your answer ready before you reveal the options!

    2. the value of ​c.

      [2]
  2. Find the value of ​b.

    [2]