Answer:
The correct option is (D) .
Step-by-step explanation:
Consider the option A.
To find whether the exponential function has <em>x</em> intercepts, substitute .
The above equality holds only for <em>x</em> = 5.
Now, consider the option B.
Similarly, substitute
The above equality holds only for <em>x</em> = 6.
Consider the option C.
Substitute
The above equality holds only for <em>x</em> = 6.
Now, consider the option D.
Substitute
This equality never holds for any real number.
We can draw the graph for the provided options with the help of graphing utility.
We can verify our result with the help of figure 1.
From the figure 1, it is clear that the graph of does not have an <em>x</em> intercept.
Hence, the correct option is (D) .