The price value, V, of a car that is t years old is given by V=f(t)=17000-3100 t. Find the domain and range of f(t).

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The price value,  V, of a car that is  t years old is given by  V=f(t)=17000-3100 t. Find the domain and range of  f(t).

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Identify Function Components:  Identify the function and its components. Function: V = f(t) = 17000 - 3100t This equation shows how the value V of a car decreases over time t.Determine Domain of f(t):  Determine the domain of f(t). The domain of f(t) is all possible values of t for which the function is defined. Since t represents the age of the car in years, t must be a non-negative number (t ≥ 0).Calculate Zero Value Time:  Calculate when the car's value reaches zero to find the upper limit of the domain. Set V = 0 and solve for t: 0 = 17000 - 3100t 3100t = 17000 t = 17000 / 3100 t = 5.48 Since a car can't be a fraction of a year old in this context, round t down to the nearest whole number, t = 5.State Domain Limit:  State the domain based on the calculation. The domain of f(t) is 0 ≤ t ≤ 5, as the car's value cannot be negative and the car is valued for up to 5 years.Determine Range of f(t):  Determine the range of f(t). The range of f(t) is the set of all possible values of V. From t = 0 to t = 5, the value of V decreases from 17000 to 0.State Range Values:  State the range based on the function's behavior. The range of f(t) is from 0 to 17000, as these are the maximum and minimum values V can take.

The price value, $V$ , of a car that is $t$ years old is given by $V=f(t)=17000-3100t$ . Find the domain and range of $f(t)$ .

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The price value, VVV, of a car that is ttt years old is given by V=f(t)=17000−3100tV=f(t)=17000-3100tV=f(t)=17000−3100t. Find the domain and range of f(t)f(t)f(t).

The price value, $V$ , of a car that is $t$ years old is given by $V=f(t)=17000-3100t$ . Find the domain and range of $f(t)$ .