Question

What is the relative maximum and minimum of the function?
f(x) = 2x2 + 28x - 8

Answer 1

A. Minimum Value: -7 Range y > -7
B. Minimum Value: 7
Range y > 7
C. Minimum Value: -106 Range y > -106
D. Minimum Value: -106 Range y > -7

Answer 2

find the vertex of this parabola

Answer 3

its a parabola facing upwards so, you can tell the minimum y value from the vertex

Answer 4

I don't know how to

Answer 5

and the Range, meaning all the other y values. will include every other y number greater than that min value

Answer 6

have you learnt about derivatives yet?

Answer 7

yes but I really didn't understand

Answer 8

I had thought B but it was wrong

Answer 9

for a parabola, the maximum or minimum happens when the derivative =0, because the tangent line there must be horizontal

Answer 10

ok

Answer 11

f'(x) = ?

Answer 12

2x^2 +28x -8

Answer 13

f ' (x) = take the derivative of f(x)

Answer 14

use this formula for now it comes straight from differentiation
-b/2a will give you the x value where the vertex is
-28/4 = -7
y=2*(-7)^2+28*-7 -8
= 98 -140-56-8
= -106

Answer 15

therefre min value = -106, and the range of y is every value more or equal to that

Answer 16

so C??