Question

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.

Answer 1

A. The x-intercept is (1, 0).

D. It is decreasing.

E. The range is all real numbers.

F. The domain is x > 0.

Explanation:

Answer 2

The given function is:


`f(x)= log_(0.521)(x)`

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.

The statement C is false. The base of log is less than 1, so it will be a decreasing function.

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.

So the correct options are A, D, E and F