Question

1. Does the function have a minimum or maximum value?

2.What is the function's min/max value?
3. Where does the minimum or maximum value occur?
x=

Answer 1

Given the function
`g(x)=2x^2+12x+21`. The above function can be written as

`image`

a)Now, the function
`g(x)=2(x+3)^2+3` has minimum value since the coefficient of
`(x+3)^2` is
`2>0`.

b) The minimum value of the function occurs at
`x=-3` and its value is

`g(-3)=3(-3+3)^2+3 =3`

c)The minimum value of the function occurs at
`x=-3`.