2.2 Functions, domain, range and inverse

2.2 Functions, domain, range and inverse Quiz

IB Maths: Analysis and Approaches SL: Quiz

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  1. 1. What is the largest possible domain of f(x)=6−2xf(x) = \sqrt{6 - 2x}?

    • A. x≥3x \ge 3
    • B. x≤3x \le 3
    • C. x≤6x \le 6
    • D. x∈Rx \in \mathbb{R}

  2. 2. f(x)=5−x2f(x) = 5 - x^2, x∈Rx \in \mathbb{R}. What is the range of ff?

    • A. f(x)≥5f(x) \ge 5
    • B. f(x)≤5f(x) \le 5
    • C. f(x)∈Rf(x) \in \mathbb{R}
    • D. f(x)≤−5f(x) \le -5

  3. 3. f(x)=3x+2f(x) = 3x + 2. Find f−1(20)f^{-1}(20).

    • A. 6262
    • B. 162\frac{1}{62}
    • C. 66
    • D. 223\frac{22}{3}

  4. 4. The function ff has domain x≥0x \ge 0 and range f(x)≥−2f(x) \ge -2. What is the domain of f−1f^{-1}?

    • A. x≥0x \ge 0
    • B. x≥−2x \ge -2
    • C. x≤−2x \le -2
    • D. x∈Rx \in \mathbb{R}

  5. 5. Which function has an inverse function?

    • A. f(x)=x2+1f(x) = x^2 + 1, x∈Rx \in \mathbb{R}
    • B. f(x)=(x−1)2f(x) = (x - 1)^2, x≥1x \ge 1
    • C. f(x)=∣x∣f(x) = |x|, x∈Rx \in \mathbb{R}
    • D. f(x)=4−x2f(x) = 4 - x^2, x∈Rx \in \mathbb{R}

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