Domain and range

Domain and range Quiz

IB MYP Maths Extended: Quiz

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5 questions, one answer each

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  1. 1. What is the domain of f(x)=1x+4f(x)=\dfrac{1}{x+4}?

    • A. x≠4x\neq4
    • B. x≠−4x\neq-4
    • C. x>−4x>-4
    • D. All real numbers

  2. 2. Find the range of f(x)=3x+1f(x)=3x+1 for 0≤x≤20\leq x\leq2.

    • A. 1≤f(x)≤71\leq f(x)\leq7
    • B. 0≤f(x)≤20\leq f(x)\leq2
    • C. 1≤f(x)≤61\leq f(x)\leq6
    • D. f(x)≥1f(x)\geq1

  3. 3. Find the range of f(x)=x2+2f(x)=x^2+2 for all real xx.

    • A. f(x)≥0f(x)\geq0
    • B. f(x)≥−2f(x)\geq-2
    • C. f(x)≥2f(x)\geq2
    • D. f(x)>2f(x)>2

  4. 4. Find the range of the mapping 1→3, 2→5, 3→3, 4→71\to3,\ 2\to5,\ 3\to3,\ 4\to7.

    • A. {1,2,3,4}\{1,2,3,4\}
    • B. {3,5,3,7}\{3,5,3,7\}
    • C. 3≤y≤73\leq y\leq7
    • D. {3,5,7}\{3,5,7\}

  5. 5. Find the range of f(x)=x2f(x)=x^2 for −2≤x≤3-2\leq x\leq3.

    • A. 4≤f(x)≤94\leq f(x)\leq9
    • B. 0≤f(x)≤90\leq f(x)\leq9
    • C. −2≤f(x)≤3-2\leq f(x)\leq3
    • D. 0≤f(x)≤40\leq f(x)\leq4

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