Given the <span>piecewise function f(x) is defined below
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![f(x)= \left \{ {{x^2+1; \ \ \ -4 \leq x \ \textless \ 1} \atop {-x^2; \ \ \ 1 \leq x\ \textless \ 2}} \atop {3x; \ \ \ x \geq 2} \right.](https://tex.z-dn.net/?f=f%28x%29%3D%20%5Cleft%20%5C%7B%20%7B%7Bx%5E2%2B1%3B%20%5C%20%5C%20%5C%20-4%20%5Cleq%20x%20%5C%20%5Ctextless%20%5C%201%7D%20%5Catop%20%7B-x%5E2%3B%20%5C%20%5C%20%5C%201%20%5Cleq%20x%5C%20%5Ctextless%20%5C%202%7D%7D%20%5Catop%20%7B3x%3B%20%5C%20%5C%20%5C%20x%20%5Cgeq%202%7D%20%5Cright.%20)
In the piecewise function, we use the top function, when x has a value from -4 to 1, 1 not included. We use the middle function when x has a value from 1 to 2, 2 not included. And we use the bottom function when x has a value of 2 and above.
Therefore, to find f(1), we make use of the middle function.
The answer would be -37.5
Answer:
7.5
Step-by-step explanation:
$15.99x2 +2.99+3.99= subtotal
subtotal x .089= Tax due
tax due + subtotal = total spent
38.96*.089= 3.46
3.46 +38.96= 42.42744
so altogether with tax, Joseph and Tyler spent $42.43 at the hobby store