Answer:
G(x) = |x| + 5
Step-by-step explanation:
There is a parent function in absolute value as
f(x) = |x|
Given that this is shifted up by 5 units
This means no horizontal shift so x remains as it is
Since vertically shifted by 5 units, we get new function as
This will make the parent function shift by 5 units up and hence y intercept would be
f(0) = 5
This function would be having minimum at (0,5) and symmetrical about x=0
Domain = all real numbers
Range =[5,infty)
Product rule:
Power rule:
The exponential function is its own derivative:
Assuming the base of is , its derivative is
But if you mean a logarithm of arbitrary base , we have
So we end up with
x= -1 or x=3