Math  /  Algebra

QuestionFor questions 17 -20: Graph the function and the asymptote. Label any intercept point(s) for function. State the equation for the asymptote. [7 points each]
17. y=3xy=3^{x}
18. y=3(12)xy=-3\left(\frac{1}{2}\right)^{x} \begin{tabular}{c|c} xx & y=112)2\left.y=1 \frac{1}{2}\right)^{2} \\ \hline-2 & 4 \\ -1 & 2 \\ 0 & 1 \\ ii & 0.5 \\ 2 & 0.25 \end{tabular} \begin{tabular}{c|c} xx & 3y-3 y \\ \hline-2 & -12 \\ -1 & -6 \\ 0 & =3=3 \\ 1 & =1.5=1.5 \\ 2 & -0.7 \end{tabular}

Studdy Solution
For y=3xy = 3^x, the y-intercept is (0,1)(0, 1), there is no x-intercept, and the horizontal asymptote is y=0y = 0.
For y=3(12)xy = -3(\frac{1}{2})^x, the y-intercept is (0,3)(0, -3), there is no x-intercept, and the horizontal asymptote is y=0y = 0.
The graphs are sketched as described above.

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