15. Consider the following graphs: (I) y 2 1 -3-2-1 1 2 3 (IV) y 1 -3-2-1 1 2 3 -2 -3 Which is the graph of $y = 1 - e^{-x}$? A) (III) B) (V) C) (II) D) (IV) E) (I) (II) y 2 1 -3-2-1 1 2 3 -2 -3 (III) y 3 2 -3-2-1 1 2 3 -2 (V) y 2 1 -3-2-1 1 2 3 -2 -3
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Step 1: We need to determine the graph of the function √(x+1) - e^x. Show more…
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Use transformations of graphs to sketch the graphs of $y_{1}, y_{2},$ and $y_{3}$ by hand. Check by graphing in an appropriate viewing window of your calculator. $$y_{1}=\sqrt[3]{x}, \quad y_{2}=\sqrt[3]{-x}, \quad y_{3}=\sqrt[3]{-(x-1)}$$
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Use transformations of graphs to sketch the graphs of $y_{1}, y_{2},$ and $y_{3}$ by hand. Check by graphing in an appropriate viewing window of your calculator. $$y_{1}=\sqrt{x}, \quad y_{2}=-\sqrt{x}, \quad y_{3}=\sqrt{-x}$$
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