Which statements accurately describe the function f (x) = 3√18^x? Check all that apply.

A. The domain is all real numbers.

B. The range is y > 3.

C. The initial value is 3.

D. The initial value is 9.

E. The simplified base is √2.

F. The simplified base is 3√2.

Question

Mathematics

Fernando Mercer

14 July, 01:22

Which statements accurately describe the function f (x) = 3√18^x? Check all that apply.

A. The domain is all real numbers.

B. The range is y > 3.

C. The initial value is 3.

D. The initial value is 9.

E. The simplified base is √2.

F. The simplified base is 3√2.

+1

Answers (1)

Know the Answer?

Arnie · Answer 1

Option A is correct: the domain is all real numbers for there is no real value of x for which f (x) does not have a value.

Option B is incorrect: the range is not y > 3, because, for negative values of x, f (x) < 3, e. g. for x = - 1, f (x) = 3 * sqrt (18^ (-1)) = 3*sqrt (1/18) = 3*0.2357 = 0.7071 < 3.

Option C is correct: f (0) = 3*sqrt (18^0) = 3*sqrt (1) = 3 * 1 = 3

Option D is incorrest: (see working for option C)

Which statements accurately describe the function f (x) = 3√18^x? Check all that apply.A. The domain is all real numbers.B. The range is y > 3.C. The initial value is 3.D. The initial value is 9.E. The simplified base is √2.F. The simplified base is 3√2.

Which statements accurately describe the function f (x) = 3√18^x? Check all that apply.

A. The domain is all real numbers.

B. The range is y > 3.

C. The initial value is 3.

D. The initial value is 9.

E. The simplified base is √2.

F. The simplified base is 3√2.