Question

Below is the graph of f ′(x), the derivative of f(x), and has x-intercepts at x = –3, x = 1 and x = 2. There are horizontal tangents at x = –1.5 and x = 1.5. Which of the following statements is true?

Answer 1

d is wrong

Answer 2

@mathstudent55 @amistre64 @CausticSyndicalist @dan815 @EclipsedStar @perl @jagr2713 @TheSmartOne @texaschic101 @jdoe0001 @Nnesha @abb0t @tHe_FiZiCx99 @tanya123 @poopsiedoodle @FibonacciChick666 @vera_ewing @Abmon98 @Jaynator495 @Firejay5 @amorfide

Answer 3

I would say C is true because you don't have the information for an inflexion point ( I believe)
x=-4.5 isn't even shown on the graph

therefore only C can be deduced

Answer 4

I may be wrong

@texaschic101

Answer 5

@bibby @dan815 @Godlovesme @Hero @iambatman @inowalst @jagr2713 @Lyrae @Michele_Laino @quickstudent @sleepyjess @sleepyhead314 @Squirrels @wio @xapproachesinfinity

Answer 6

what do u guys think

Answer 7

@HelpBlahBlahBlah

Answer 8

Sorry, I don't remember how to do this. :(

Answer 9

@Michele_Laino

Answer 10

I think the third option, since at x=1.5, your function has a minimum value

Answer 11

the horizontal tangent is a condition for the existence of a relative maximim or relative minimum value for a function f(x)

Answer 12

c and d are wrong

Answer 13

@Michele_Laino

Answer 14

I think that option b is the function is increasing from x=-3.2 to x=-1.5

Answer 15

nevertheless option C is correct