Answer: The domain is,
{x ; x ≥ 0 }
Step-by-step explanation:
Here, x represents the number of pounds of apples,
Let f(x) shows the cost of apples,
Given,
The price of 3 pounds or fewer pounds of apples is $ 1.50 per pounds,
That is, f(x) = 1.50x for x ≤ 3,
We know that, the pounds of apples can not be negative,
⇒ f(x) = 1.50x for 0 ≤ x ≤ 3,
Now, The price of more than 3 pounds of apples is $ 1.10 per pounds,
That is, f(x) = 1.10x for x > 3,
Thus, the piece wish function that shows the price of apples per pounds,
\(f(x) = \left\{\begin{matrix}1.50x & 0\leq x\leq 3\\ 1.10x & x>3\end{matrix}\right.\)
Since, for this function the possible value of x (input of f(x)) is
\(0\leq x\leq \infty\)
And, Domain of a function = All possible value of input of the function.
So, the domain for the above function is,
{x ; x ≥ 0 }
