Question

Domain & Range of:

-0.035 x^2+1.4 x+6.

Answer 1

the legend asks a question!

Answer 2

And Superstar answers it. ;)

Answer 3

i didn't say I could but i'll try

Answer 4

domain is all reals clearly

Answer 5

range?

Answer 6

derivatives to find max and mins you think?

Answer 7

No idea. :/

Answer 8

the domain is all real x: and the curve is concave so find the maximum value. so range is -infinity, maximum

Answer 9

what do u mean dipan?

Answer 10

Elaborate.

Answer 11

after derivative
-.07x+1.4=0
x=-20
plug in to original equation...

Answer 12

this is another form of the same equation:
-(0.035) (x - 20)² + 20

Answer 13

Ok, solve this to completing square form, SHOW STEPS as well:


-0.035 x^2+1.4 x+6.

Answer 14

-35x^2 + 1400 + 6000

Answer 15

ALL REAL NUMBERS

Answer 16

what?

Answer 17

-0.035 x^2+1.4 x+6=f(x)
f''(x)=-.07 (concave down)
f(-20)=-36
is the max, so the range is (-infinty,-36)

Answer 18

f(x)=-0.035 x^2+1.4 x+6