For the function

MATHEMATICS · Multi-part · CBSE · Mathematics · Power Play · Power Play

Problem

For the function k(x)=−3⋅2xk(x)=-3\cdot 2^{x}, answer the following: (i) Write the coordinates of its yy-intercept. (ii) State the equation of its horizontal asymptote. (iii) Describe in one sentence whether the graph is increasing or decreasing and on which side of the asymptote it lies for large positive values of xx.

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