13.3k views
3 votes
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):}

User Leothorn
by
8.3k points

1 Answer

3 votes

Final answer:

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.

User Simon Giles
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories