SOLUTION: Find the following for the function ​f(x)=lxl+20 ....note:the "l" next to x are suppose to be lines ​(a)​ f(0) ​(b)​ f(2​) ​(c)​

Algebra ->  Average -> SOLUTION: Find the following for the function ​f(x)=lxl+20 ....note:the "l" next to x are suppose to be lines ​(a)​ f(0) ​(b)​ f(2​) ​(c)​       Log On


   



Question 1123440: Find the following for the function ​f(x)=lxl+20 ....note:the "l" next to x are suppose to be lines
​(a)​ f(0)
​(b)​ f(2​)
​(c)​ f(−2​)
​(d)​ f(−​x)
​(e) −​f(x)
​(f)​ f(x+10​)
​(g)​ (6​x)
​(h)​ f(x+​h)

Found 2 solutions by solver91311, Boreal:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Write your original function definition in pencil, namely



For problem (a), erase the and write 0 in its place. Then do the indicated arithmetic.

Do the same thing for all of the other problems, replacing the with the value inside the parentheses for that particular problem, simplifying the expression as much as possible in each case.

By the way, if you need to create absolute value bars in the future, find the "backslash" key, generally right above the "Enter" key on your keyboard. Hold "Shift" and press the "backslash" to get the "pipe" symbol: |


John

My calculator said it, I believe it, that settles it


Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
absolute value of a number is the number if it is positive and it is the positive number if the number is negative
a. 20
b.22
c.22
d.x+20
e.-(x+20), since this is how an absolute value can be made negative
f. x+30
g. 6x+20
h. |x+h|+20. The shape of this graph will be transformed -h units horizontally and 20 units vertically.