2.2 Concept of a function, domain, range and inverse

2.2 Concept of a function, domain, range and inverse Quiz

IB Maths: Applications and Interpretation SL: Quiz

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  1. 1. What is the largest possible domain of f(x)=2−xf(x)=\sqrt{2-x}?

    • A. x≥2x\ge2
    • B. x≤2x\le2
    • C. x<2x<2
    • D. x≥0x\ge0

  2. 2. What is the range of f(x)=x2+1f(x)=x^2+1 for all real xx?

    • A. all real numbers
    • B. f(x)≥0f(x)\ge0
    • C. f(x)≥1f(x)\ge1
    • D. f(x)>1f(x)>1

  3. 3. Find f−1(x)f^{-1}(x) for f(x)=3x−4f(x)=3x-4.

    • A. x+43\frac{x+4}{3}
    • B. x−43\frac{x-4}{3}
    • C. 3x+43x+4
    • D. 13x−4\frac{1}{3x-4}

  4. 4. Given f(5)=11f(5)=11, which statement must be true?

    • A. f−1(5)=11f^{-1}(5)=11
    • B. f−1(11)=5f^{-1}(11)=5
    • C. f−1(11)=15f^{-1}(11)=\frac{1}{5}
    • D. f−1(5)=111f^{-1}(5)=\frac{1}{11}

  5. 5. Why does f(x)=x2f(x)=x^2, for all real xx, have no inverse function?

    • A. Its range is not all real numbers
    • B. Its domain includes 0
    • C. Its graph passes through the origin
    • D. It is not one-to-one, e.g. f(−2)=f(2)=4f(-2)=f(2)=4

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