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Functions & types

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Q. If f(x) = 2x + 3, what is f(5)?
  • A. 10
  • B. 13
  • C. 15
  • D. 8
Q. If f(x) = 2x^2 - 3x + 1, what is f(2)?
  • A. 1
  • B. 3
  • C. 5
  • D. 7
Q. If f(x) = 2^x, what is f(3)?
  • A. 6
  • B. 8
  • C. 9
  • D. 10
Q. If f(x) = 3x - 4, find f(-2).
  • A. -10
  • B. -8
  • C. -6
  • D. -4
Q. If f(x) = 3x - 4, what is f(-2)?
  • A. -10
  • B. -8
  • C. -6
  • D. -4
Q. If f(x) = 3x - 4, what is the inverse function f^(-1)(x)?
  • A. (x + 4)/3
  • B. 3x + 4
  • C. 3(x - 4)
  • D. x/3 + 4
Q. If f(x) = 3x - 5, what is f(f(1))?
  • A. -2
  • B. 1
  • C. 4
  • D. 7
Q. If f(x) = sin(x), what is f(π/2)?
  • A. 0
  • B. 1
  • C. -1
  • D. undefined
Q. If f(x) = x^2 + 2x + 1, what is the vertex of the parabola?
  • A. (-1, 0)
  • B. (0, 1)
  • C. (-1, 1)
  • D. (1, 0)
Q. If f(x) = x^2 - 4, what are the x-intercepts?
  • A. -2, 2
  • B. 0, 4
  • C. 2, 4
  • D. None
Q. If f(x) = x^2 - 4x + 3, what is the value of f(2)?
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. If f(x) = x^2 and g(x) = x + 1, what is (f ∘ g)(2)?
  • A. 4
  • B. 9
  • C. 16
  • D. 25
Q. If f(x) = x^2, what is f(-3)?
  • A. 3
  • B. 6
  • C. 9
  • D. 12
Q. If f(x) = x^3 - 3x + 2, what is f(1)?
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. If f(x) = x^3 - 3x + 2, what is the value of f(1)?
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. If f(x) = |x - 2|, what is f(2)?
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. If f(x) = |x|, what is f(-3)?
  • A. -3
  • B. 3
  • C. 0
  • D. undefined
Q. If g(x) = 3x + 2, what is g(-1)?
  • A. -1
  • B. 0
  • C. 1
  • D. 2
Q. If h(x) = x^3 - 3x + 2, what is the critical point?
  • A. x = 0
  • B. x = 1
  • C. x = -1
  • D. x = 2
Q. If h(x) = x^3 - 3x + 2, what is the value of h(1)?
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. If h(x) = x^3 - 3x, what is the value of h(1)?
  • A. -2
  • B. 0
  • C. 1
  • D. 2
Q. The function f(x) = x^2 - 4 is:
  • A. Always increasing
  • B. Always decreasing
  • C. Neither increasing nor decreasing
  • D. Both increasing and decreasing
Q. The function f(x) = x^2 - 4x + 4 can be expressed in which form?
  • A. (x - 2)^2
  • B. (x + 2)^2
  • C. (x - 4)^2
  • D. (x + 4)^2
Q. The function f(x) = |x - 3| is continuous at which of the following points?
  • A. x = 1
  • B. x = 2
  • C. x = 3
  • D. x = 4
Q. The range of the function f(x) = |x - 1| is:
  • A. (-∞, 1)
  • B. [0, ∞)
  • C. (-1, 1)
  • D. [1, ∞)
Q. What is the composition of functions f(g(x)) if f(x) = x + 1 and g(x) = 2x?
  • A. 2x + 1
  • B. 2x - 1
  • C. x + 2
  • D. x + 1
Q. What is the domain of the function f(x) = 1/(x - 2)?
  • A. x ≠ 2
  • B. x > 2
  • C. x < 2
  • D. All real numbers
Q. What is the domain of the function f(x) = 1/(x-3)?
  • A. x ≠ 3
  • B. x > 3
  • C. x < 3
  • D. All real numbers
Q. What is the domain of the function f(x) = sqrt(x - 1)?
  • A. x >= 1
  • B. x > 1
  • C. x <= 1
  • D. x < 1
Q. What is the inverse of the function f(x) = 2x + 3?
  • A. (x - 3)/2
  • B. (x + 3)/2
  • C. 2x - 3
  • D. 2(x - 3)
Showing 1 to 30 of 52 (2 Pages)

Functions & types MCQ & Objective Questions

Understanding "Functions & types" is crucial for students preparing for school and competitive exams in India. This topic forms the foundation of many mathematical concepts and is frequently tested in various assessments. Practicing MCQs and objective questions on this subject not only enhances your grasp of the material but also boosts your confidence, helping you score better in exams.

What You Will Practise Here

  • Definition and types of functions
  • Understanding domain and range
  • Types of functions: linear, quadratic, polynomial, and more
  • Function notation and evaluation
  • Graphing functions and interpreting graphs
  • Composite functions and inverse functions
  • Real-world applications of functions

Exam Relevance

The topic of "Functions & types" is a significant part of the curriculum for CBSE, State Boards, NEET, and JEE exams. Students can expect questions that assess their understanding of function properties, graph interpretations, and real-life applications. Common question patterns include multiple-choice questions that require students to identify function types, evaluate functions, or solve problems involving composite and inverse functions.

Common Mistakes Students Make

  • Confusing the domain and range of a function
  • Misinterpreting function notation and evaluation
  • Struggling with graphing functions accurately
  • Overlooking the importance of composite functions
  • Failing to apply functions to real-world scenarios

FAQs

Question: What are the different types of functions I need to know for exams?
Answer: You should be familiar with linear, quadratic, polynomial, exponential, and logarithmic functions, as these are commonly tested.

Question: How can I improve my understanding of functions?
Answer: Regular practice with MCQs and objective questions will help reinforce your understanding and identify areas that need improvement.

Don't wait any longer! Start solving practice MCQs on Functions & types today to test your understanding and prepare effectively for your exams. Your success is just a question away!

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