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) = [tex](2.1)^{2} +5[/tex]
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!
