Answer:
A) The indicated values of F(x) for x=-3 and x=5 are [tex]F(-3)=-27[/tex] and [tex]F(5)=125[/tex]
B) The domain of f is the set of all real numbers
Step-by-step explanation:
Given that the function F is defined by
[tex]F(x)=x^3[/tex] for x=-3,5
A) To find F(x) for the indicated values of x :
Given [tex]F(x)=x^3[/tex] for x=-3,5
[tex]F(-3)=(-3)^3[/tex]
[tex]=(-3)\times (-3)\times (-3)[/tex]
[tex]=-27[/tex]
Therefore [tex]F(-3)=-27[/tex]
[tex]F(5)=(5)^3[/tex]
[tex]=(5)\times (5)\times (5)[/tex]
[tex]=125[/tex]
Therefore [tex]F(5)=125[/tex]
The indicated values of F(x) for x=-3 and x=5 are [tex]F(-3)=-27[/tex] and [tex]F(5)=125[/tex]
B) To find the domain of f :
The domain of the f in the given expression is the set of all real numbers except where the expression [tex]x^3[/tex] is undefined. In this case, there is no real number that makes the expression undefined.
The domain of f is the set of all real numbers
