Number and Algebra
Functions
Geometry & Trigonometry
Statistics & Probability
Calculus
Sketch the graph of f(x)=e−xf(x)=e^{-x}f(x)=e−x and use it to determine limx→∞e−x\lim_{x\to \infty}e^{-x}limx→∞e−x.
Sketch the graph of f(x)=exf(x)=e^xf(x)=ex and use it to determine limx→−∞ex\lim_{x\to -\infty}e^xlimx→−∞ex.
Sketch the graph of f(x)=xf(x)=\sqrt{x}f(x)=x for x≥0x\ge0x≥0 and use it to determine limx→∞x\lim_{x\to \infty}\sqrt{x}limx→∞x.
Sketch the graph of f(x)=1xf(x)=\tfrac{1}{x}f(x)=x1 and use it to determine limx→0+1x\lim_{x\to 0^+}\tfrac{1}{x}limx→0+x1.
Sketch the graph of f(x)=lnxf(x)=\ln xf(x)=lnx and use it to determine limx→0+lnx\lim_{x\to 0^+}\ln xlimx→0+lnx.
Sketch the graph of f(x)=arctanxf(x)=\arctan xf(x)=arctanx and use it to determine limx→∞arctanx\lim_{x\to \infty}\arctan xlimx→∞arctanx.
Sketch the graph of f(x)=1x−2f(x)=\tfrac{1}{x-2}f(x)=x−21 and use it to determine limx→2−1x−2\lim_{x\to 2^-}\tfrac{1}{x-2}limx→2−x−21.
Sketch the graph of f(x)=xe−xf(x)=x e^{-x}f(x)=xe−x and use it to determine limx→∞xe−x\lim_{x\to \infty}x e^{-x}limx→∞xe−x.
Sketch the graph of the piecewise function
and use it to determine limx→0f(x)\lim_{x\to 0}f(x)limx→0f(x).
Sketch the graph of f(x)=sinxxf(x)=\tfrac{\sin x}{x}f(x)=xsinx and use it to determine limx→0sinxx\lim_{x\to 0}\tfrac{\sin x}{x}limx→0xsinx.
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Question Type 2: Using tables of values of small increments to explore different functions