Answer:
The function has a domain of all real numbers.
The function has a range of {y|–∞ < y <∞ }.
The function is a reflection of y=∛x
Step-by-step 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|–∞ < y <∞ } set of real numbers
Now f(x)=-∛x hence its reflection will be
-f(x)=-(-∛x)
y=∛x !
Answer:
Solution given:
- (sinx+cosx)^2-(sinx-cosx)^2
- sin²x+2sinxcosx+cos²x-(sin²x-2sinxcosx+cos²)
- 1+2sinxcosx-1+2sinxcosx
- 2(2sinxcosx)
- 2sin2x
Step-by-step explanation:
[note: sin²x+cos²x=1]