Which graph represents a reflection of f(x) = (10)x across the y-axis?
2 answers:
We are asked in the problem to determine the graph that represents the reflection of f(x) = 10^x. This function is an exponential function that is also asymptotic to the y axis. Asymptotic means that a function approaches a number at the x or y axis but not necessarily touching it. In this case, the function is asymptotic to y =0. The graph of f(x) = 10^x is attached on this answer. The reflection is simply taking f(-x) as we substitute -x to x. The resuting function is f(x)= 10 ^ -x. We can see from the graphs that they mirror each other at x = 0.
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