Given the function calculate the following values

Question

F(x)={3x+6 x<0, 3x+12 x>(has a line under it so it is greater than or equal to) 0}

Calculate with the values:

F(-1)=

I put nine for it I actually plugged in the numbers into both equations and did the same for the bottom two the answer with the first equation is 3

F(0) =

I got 6 and 12 with plugging into both equations

F(2) =

I got 12 and 18 with plugging into both equations.

But I do not know if I did it correctly and don't know which answer is the correct one for each values.

Answer 1

1) F(-1) = 3(-1)+6 = 3

2) F(0) = 3(0)+12 = 12

3) F(2) = 3(2)+12=18

To determine which function to use, compare your x-value to the domain for each function. For x greater than or equal to zero, you use the second equation "3x+12" and for x strictly less than zero, you use the first equation "3x+6". For example, to find F(-1), we see that -1 satisfies -1 < 0, so you use the equation 3x+6. Hopefully, the rest of the problems make sense from that!

Answer 2

F(x) = 3x+6 if x < 0

F(x) = 3x+12 if x > 0

F(-1) = 3(-1)+6= -3+6 = 3

F(0) = 3(0)+12 = 12

F(2) = 3(2)+12 = 6+12 = 18