Question

find g(-1) and g''(-1)

Answer 1

\[g(x)=\int\limits_{0}^{x}f(t) dt\]

Answer 2

graph above is f

Answer 3

find g(-1)

Answer 4

@hartnn

Answer 5

can u find the point of intersection of those 2 lines ?
or, equation of those lines ??

Answer 6

Is g(x) a constant? I don't see x in the definition of g(x).
Does f(x) = 0 for x>2, or does it decrease forever?

Answer 7

@hba

Answer 8

i know that f'(-1)=0

Answer 9

what i have no idea how to find the f(-1)

Answer 10

slope is 3

Answer 11

Now you can find the equation :)

Answer 12

and u also have point , so equation is ?

Answer 13

y=3x+3

Answer 14

x=-1
thats your f(t) for 0 to -1

Answer 15

\(g(-1)=\int\limits_{0}^{-1}(3x+3) dt\)

Answer 16

can u find g(-1) now

Answer 17

yes

Answer 18

good :)

Answer 19

-(3x+3)

Answer 20

-3/2

Answer 21

what about f''(-1)

Answer 22

u sure about -3/2 ??

Answer 23

yes