Question

Answer maximum value of ____ or minimum value of (blank)

Determine whether each function has a maximum or a minimum value. Then find the maximum or minimum value of each function.


f(x) = x2 +9

Answer 1

minimum value is 9.
Since x^2 at most can be zero, not less.

Answer 2

f(x) = ax^2 + bx + c

Answer 3

a > 0 => MINIMUM value
a < 0 => MAXIMUM value

Answer 4

here a = 1, which is > 0, so it will have MINIMUM value

Answer 5

@rsadhvika can u walk me through it

Answer 6

f(x) = x2 +9

compare it with
ax2 + bx + c

Answer 7

a=1, right ?

Answer 8

yes

Answer 9

first we figure out whether it has MAXIMUM or MINIMUM value

a > 0 => MINIMUM value
a < 0 => MAXIMUM value

Answer 10

since a = 1, its greater than 0, so it will have MINIMUM value. fine so far ?

Answer 11

yes

Answer 12

Having known it has a MINIMUM value, lets find the MINIMUM value

Answer 13

ok

Answer 14

f(x) = x2 +9

Answer 15

MIMIMUM value = f(-b/2a)
= f(0)
= 0 +9
= 9

Answer 16

if you dont get how to do this yet, dont wry.... u wil understand these in next problem im sure :)

Answer 17

yes

Answer 18

so it will have a 'minimum value of 9'

Answer 19

lets move on to next problem. hope we will dive in more deep in next prob ok :)

Answer 20

ok

Answer 21

good :D