Question

Please help me with this.

Answer 1

By understanding and applying the characteristics of piecewise functions, the results are listed below:

1. r (- 3) = 15
2. r (- 1) = 11
3. r (1) = - 7
4. r (5) = 13

How to evaluate a piecewise function at given values

In this question we have a piecewise function formed by three expressions associated with three respective intervals. We need to evaluate the expression at a value of the respective interval:

r(- 3):

-3 ∈ (- ∞, -1]

r(- 3) = - 2 · (- 3) + 9

r (- 3) = 15

r(- 1):

-1 ∈ (- ∞, -1]

r(- 1) = - 2 · (- 1) + 9

r (- 1) = 11

r(1):

1 ∈ (-1, 5)

r(1) = 2 · 1² - 4 · 1 - 5

r (1) = - 7

r(5):

5 ∈ [5, + ∞)

r(5) = 4 · 5 - 7

r (5) = 13

By understanding and applying the characteristics of piecewise functions, the results are listed below:

1. r (- 3) = 15
2. r (- 1) = 11
3. r (1) = - 7
4. r (5) = 13

To learn more on piecewise functions: brainly.com/question/12561612

#SPJ1