Answer :
The statement that is true about the graph of the function, [tex]f(x) = (5/4)^x + 1,[/tex] is: C. The function f(x) does not have an inverse because it does not pass the horizontal line test.
What is true about the Graph of a Function?
The horizontal line test states that for a function to have an inverse, no horizontal line should intersect the graph of the function at more than one point.
In the case of [tex]f(x) = (5/4)^x + 1,[/tex] the graph of the function will intersect any horizontal line at least once, meaning that multiple x-values can correspond to the same y-value. Therefore, the function does not pass the horizontal line test and does not have an inverse.
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