![user11883661](/avatars/22087.jpg)
user11883661
06.11.2020 •
Mathematics
Domain and range.
NEED HELP ASAP !!!
Solved
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Ответ:
Step-by-step explanation:
In order to know which equation we need to consider, we have to check the value of x. If x is negative, we will replace x in the first equation and if x is positive or null we will replace it in the second equation.
(a) x=-4 so x is negative. We use the first equation
and we have ![f(-4)=5*(-4)+7=-13](/tpl/images/0237/1350/2fc23.png)
(b)x=2 and is positive so we use the second equation
. The result is ![f(2)=7*(2)+8=22](/tpl/images/0237/1350/15e7a.png)
(c)x=0 In this case the function is defined by the second equation
. So ![f(0)=7*(0)+8=8](/tpl/images/0237/1350/5b7ce.png)
(d)Here we have both case in the same calcul. We need to calculate the fonction values of each one and then make the sum.
With
, x=-100 and is negative so we use the first equation
and we have
.
With
, x=100 ans is positive so we use the second equation
and get
.
We add them to get the result :![f(-100)+f(100)=-493+708=215](/tpl/images/0237/1350/70e9f.png)
(e)![f(-4)=-13](/tpl/images/0237/1350/48e66.png)
(f)![f2)=22](/tpl/images/0237/1350/73b42.png)
(g)![f(0)=8](/tpl/images/0237/1350/9d362.png)
(h)![f(-100)+f(100)=215](/tpl/images/0237/1350/356be.png)