Which of the following statements are true? a. both graphs have been shifted and flipped b. both graphs are logarithmic functions c. both graphs are exponential functions. d. both graphs have exactly one asymptote

Option: D  Both graphs have exactly one asymptote.

Step-by-step explanation:

Clearly by looking at the graph of the two functions i.e. f(x) and g(x) we could observe that the graph of function f(x) is similar to the graph of the exponential function and the graph of the function g(x) is similar to the graph of the logarithmic function.

Hence, Option: B and option: C are discarded.

Also we could observe that the graph of the function f(x) with respect to the parent function is shifted by some units above but not flipped.The graph of the function g(x) with respect to the parent function log (x) is both shifted as well as flipped.

Hence, option: A is discarded.

Also, we know that both the exponential function and the logarithmic function have exactly one asymptote.

Hence, option: D is the correct answer.

 

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