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Questions › UoH › UoH 2020 › Q59
1 mark, −0.33Mathematics › Sets, relations and functions › Functions: domain, range and compositionEasyabout 1 min

UoH 2020 Question 59: Sets, relations and functions

Match the following function types (List-1) with the given function (List-2):

LIST-1 I. Affine function II. Rectangular hyperbola III. Polynomial function IV. Exponential function V. Periodic function

LIST-2

  1. y=5xy = 5^xy=5x
  2. y=−xn+2xn−1+…+3x+cy = -x^n + 2x^{n-1} + \ldots + 3x + cy=−xn+2xn−1+…+3x+c
  3. y=3sin⁡(x−4)y = 3\sin(x - 4)y=3sin(x−4)
  4. y=−5x+12y = -5x + 12y=−5x+12
  5. y=−6/xy = -6/xy=−6/x

Answer and worked solution

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Plain-text version

Match the following function types (List-1) with the given function (List-2): LIST-1 I. Affine function II. Rectangular hyperbola III. Polynomial function IV. Exponential function V. Periodic function LIST-2 1. y = 5^x 2. y = -xⁿ + 2xⁿ⁻¹ + … + 3x + c 3. y = 3sin (x - 4) 4. y = -5x + 12 5. y = -6/x (A) I-4, II-5, III-2, IV-1, V-3 (B) I-5, II-4, III-2, IV-3, V-1 (C) I-1, II-3, III-4, IV-2, V-5 (D) I-4, II-2, III-5, IV-1, V-3

Also written as: Match the following function types (List-1) with the given function (List-2): LIST-1 I. Affine function II. Rectangular hyperbola III. Polynomial function IV. Exponential function V. Periodic function LIST-2 1. y = 5^x 2. y = -x^n + 2x^(n-1) +... + 3x + c 3. y = 3sin (x - 4) 4. y = -5x + 12 5. y = -6/x

Sets, relations and functions has come up 65 times in 6 exams since 2004.

What this question tests

This question is on Functions: domain, range and composition, part of Sets, relations and functions in Mathematics.

What makes a rule a function, its domain and range, composition and graph transformations.

TestStop has 14 past-paper questions on this subtopic.

Practise Sets, relations and functionsMore on Functions: domain, range and composition

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