Question

Which statement is true of the function f(x) = ? Select three options.

The function is always increasing.
The function has a domain of all real numbers.
The function has a range of – < y < .
The function is a reflection of y = .
The function passes through the point (3, –27).

Answer 1

B, C, D

Explanation:

Answer 2

The function has a domain of all real numbers.

The function has a range of y.

The function is a reflection of y=∛x

Explanation:

Given:

f(x)=-∛x

domain is set of all values that x can take for which the function is defined, so

for above function domain= set of all real numbers

range is set of values that corresponds to the set of values of domain, so for given f(x) range=–∞ < y <∞ set of real numbers

Now f(x)=-∛x hence its reflection will be

-f(x)=-(-∛x)

y=∛x !