Answer:
We have to find a graph which represents a reflection of f(x) = 1/10 (10)x across the y-axis.
As we know that on reflecting the graph across the y-axis the x-coordinate of the point changes to opposite sign nut with same magnitude and the y-coordinate remains same.
Hence, the function f(x) is transformed to:
[tex]f(x)=\dfrac{1}{10}\times 10^{-x}[/tex]
The graph of the function passes through the point (0,0.1) and is a strictly decreasing function.
and the end behavior of the graph is that:
when x→∞ f(x)→ 0
when x→ -∞ f(x) → ∞
