The exponential function e^x

The exponential function e^x Quiz

Spec 3.1 · Edexcel International A Level Maths: Quiz

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  1. 1. What is the range of y=ex−4y=e^{x}-4?

    • A. y>0y>0
    • B. y>−4y>-4
    • C. y>4y>4
    • D. all real yy

  2. 2. Solve e2x+1=9e^{2x+1}=9 exactly.

    • A. x=ln⁡9−12x=\frac{\ln9-1}{2}
    • B. x=ln⁡9−12x=\ln9-\frac12
    • C. x=ln⁡82x=\frac{\ln8}{2}
    • D. x=9−12x=\frac{9-1}{2}

  3. 3. The graph of y=e−x+2y=e^{-x}+2 crosses the yy-axis at:

    • A. (0,1)(0,1)
    • B. (0,2)(0,2)
    • C. (0,3)(0,3)
    • D. (0,−3)(0,-3)

  4. 4. Which equation has no real solution?

    • A. ex=0.5e^{x}=0.5
    • B. ex=1e^{x}=1
    • C. ex=100e^{x}=100
    • D. ex=−0.5e^{x}=-0.5

  5. 5. A population is P=500e0.2tP=500e^{0.2t}. When is P=1500P=1500, to 3 s.f.?

    • A. t=5.49t=5.49
    • B. t=1.10t=1.10
    • C. t=2.50t=2.50
    • D. t=0.220t=0.220

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