Answer:
A. All real number
B. Positive Real numbers
C. y intercept is 1
D. x axis
E. Decreasing
F. Base
Step-by-step explanation:
Given:
A.
Domain of a function f(x) is the value of 'x' for which it has a defined value.
Here, f(x) can have any real number to be given to x.
So, domain is all real numbers.
B.
Range of a function f(x) is the value of f(x) when we give some value of x as input.
Here, we can not have negative value of f(x) because x is in the exponent.
So, the range is Positive Real numbers.
C.
y intercept of any function f(x) is the value of f(0).
So, y intercept is 1.
D. Horizontal asymptote is the the line where value of
x axis is the answer.
E. The graph is decreasing with increasing value of x(from left to right).
Because the base is less than 1.
F. The value of <u>base </u>determines whether the graph will be decreasing or increasing.
If base > 1, the graph will be increasing will increasing value of exponent (x).
Here the base is less than 1 so decreasing graph.
Please refer to the attached graph for better understanding of the given function.