Answer: [tex]Domain = \{t: t\geq 0\}=[0,\infty)[/tex] and [tex]Range = \{v: v\geq 550\}=[550,\infty)[/tex].
Step-by-step explanation:
It is given that, the value of this account, v, is given by the function
[tex]v=550+16.5t[/tex]
where, t is the number of years the money is in the bank.
We need to find the domain & range of this function.
Domain is the set of input values. Here, the domain is number of years which cannot be negative. So,
[tex]Domain = \{t: t\geq 0\}=[0,\infty)[/tex]
Range is the set of output values. Here, the range is amount after simple interest which cannot be less than the principal value.
[tex]Range = \{v: v\geq 550\}=[550,\infty)[/tex]
