Question

What is the relative maximum and minimum of the function?

f(x) = 2x2 + 28x - 8
A. Minimum Value: 7
Range y > 7
B. Minimum Value: -106 Range y > -7
C. Minimum Value: -106 Range y > -106
D. Minimum Value: -7 Range y > -7

If you don't mind... @eliassaab do you know how to solve this as well?

Answer 1

Can I help?

Answer 2

Yes please

Answer 3

http://www.wolframalpha.com/input/?i=2x^2+%2B+28x+-+8

Answer 4

Sir Elias, please continue! I may suggest other methods along the way.

Answer 5

Please get used to using wolframalpha which will answer most of your questions

Answer 6

@ParthKohli go ahead a help her

Answer 7

There is another way to find the maximum/minimum of the function: find the vertex.

Answer 8

@eliassaab Thank you!

Answer 9

Thank you @eliassaab and... @ParthKohli I'd like to know what that way is if you don't mind...

Answer 10

Do you know what a vertex of a graph is? If you don't, I might skip that way.

Answer 11

I think it's the highest or lowest point on the y-axis... I'm not sure >-<

Answer 12

Yes, that's correct! That's the lowest point on a curve.

Answer 13

Oooh I see... is there a curve from this equation if it's graphed or something?

Answer 14

Well, there is a formula for a vertex in the case of a parabola.

Answer 15

The vertex is \(\left( -\dfrac{b}{2a}, f\left(\dfrac{-b}{2a}\right)\right)\)

Answer 16

OK, never mind that. All hail the Wolfram Alpha Overlords!

Answer 17

o.o lol what just happened