Question

Evaluate each piecewise-defined function as indicated (if possible ). q(x)={(-x-3,x<-1),(2,-1<=x<2),(-(1)/(2)x²+3x-2,x>=2):}

Answer 1

To evaluate the piecewise-defined function q(x), check the interval and use the corresponding expression.

Step-by-step explanation:

To evaluate the piecewise-defined function q(x), we need to consider the given conditions for each interval.

For x < -1, q(x) is equal to -x - 3.

For -1 ≤ x < 2, q(x) is equal to 2.

For x ≥ 2, q(x) is equal to -(1/2)x² + 3x - 2.

So, to evaluate q(x) at a specific value, we need to check the interval in which the value falls and use the corresponding function expression.