Which facts are true for the graph of the function below? Check all that apply.F(x) = log0.521 x A. The x-intercept is (1, 0). B. The y-intercept is (0, 4). C. It is increasing. D. It is decreasing. E. The range is all real numbers. F. The domain is x > 0.
Question
Answer:
The given function is:[tex]f(x)= log_{0.521}(x)[/tex]
The statement A is true. Substituting x = 1 in given expression we get 0. So, (1,0) is the x-intercept of the function.
The statement B is false. There is no y-intercept of the function.Β
The statement C is false. The base of log is less than 1, so it will be a decreasing function.Β
The statement D is true.
The statement E if true. Range of the log function is set of all Real numbers.
The statement F is true. The given log function is defined for values of x greater than 0.Β
So the correct options are A, D, E and F
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