The base of the exponential relationship that gives the graph that is below
the horizontal x-axis has a negative constant coefficient.
- The equation that matches the given relationship is the option; y = -2ˣ
The table that matches the relationship is the option;
- [tex]\begin{tabular}{|c|c|c}x&y\\0&-1\\1&-2\\2&-4\end{array}\right][/tex]
Reasons:
Points on the graph are; (0, -1) (1, -2), and (2, -4).
The above points can be presented in a tabular form as follows;
[tex]\begin{tabular}{|c|c|c}x&y\\0&-1\\1&-2\\2&-4\end{array}\right][/tex]
The above table which corresponds with the first table is the table that
matches the relationship of the graph.
By using the equation, y = -2ˣ, we have;
At x = 0, y = -(2⁰) = -1 which gives the point (0, -1)
At x = 1, y = -2¹ = -2, which gives (1, -2)
At x = 2, y = -2² = -4, which gives (2, -4)
The above points are the points on the graph, therefore, the equation is the option; y = -2ˣ
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