As x decreases without bound f(x) approaches but never reaches 3. As x increases without bound f(x) increases without bound. the option C is correct.
What are exponential functions?
When the expression of function is such that it involves the input to be present as an exponent (power) of some constant, then such function is called exponential function.
Their usual form is specified below. They are written in several such equivalent forms.
From the graph, we can see that as x approaches negative infinity (goes to the left), the y value approaches the asymptote of y = 3.
As x approaches more negative the function will approach the horizontal asymptote,
so lim(f(x)) = 3 as x → -∞.
As x approaches more positive, so does the function,
so lim(f(x)) → +∞ as x → +∞.
As x decreases without bound f(x) approaches but never reaches 3. As x increases without bound f(x) increases without bound.
Hence, the option C is correct.
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