Question

Piece wise functions

Answer 1

Answer:

f(-5) = -6  

f(-2.6) = 2.4

f(2.1) = 9.41

Step-by-step explanation:

In the question, we are told to find f(-5), f(-2.6), and f(2.1). The numbers in the parentheses represent x.

First, let's look at f(-5). Which equation should we use because x is -5? We should use the first equation because -5 is less than -3. Plug into the equation and solve:

f(-5) = -6      (We didn't have to do much because anything less than -3 equals -6)

Now, let's look at f(-2.6). We should use the equation in the middle because -2.6 is between -3 and 0. Plug -2.6 in the equation and solve:

f(-2.6) = -2.6 + 5

f(-2.6) = 2.4

Lastly, let's look at f(2.1). We should use the third equation because x is greater than 0. Plug 2.1 in the equation and solve:

f(2.1) = $(2.1)^{2} +5$

f(2.1) = 4.41 + 5

f(2.1) = 9.41

Therefore, the final answers are:

f(-5) = -6  

f(-2.6) = 2.4

f(2.1) = 9.41

Hope this helps!! If you have questions about my work, please let me know in the comments!