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ivanzaharov [21]
3 years ago
11

Which graph represents a reflection of f(x) = 1/10 (10)x across the y-axis?

Mathematics
2 answers:
nekit [7.7K]3 years ago
7 0
This is the concept of transformations, given the function given by f(x)=1/10(10)^x, when the function is reflected along the y-axis the new function will be given by f(x)=1/10(10)^(-x). This will mirror the original function.


Nesterboy [21]3 years ago
3 0

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:

f(x)=\dfrac{1}{10}\times 10^{-x}

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) → ∞

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