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Mathematics 13 Online
OpenStudy (anonymous):

@DanJS

OpenStudy (anonymous):

this is B right? i just did this question with someone else but they were wrong for the last couple.. hahah

OpenStudy (danjs):

Try to graph f ' (x) from that description

OpenStudy (danjs):

|dw:1419990603852:dw|

OpenStudy (danjs):

doesnt have to be linear, but it is decreasing

OpenStudy (danjs):

First choice: f(x) has an inflection point at x=0?

OpenStudy (danjs):

that means that the concavity will change at x=0

OpenStudy (danjs):

Think of f'(x) as the velocity of an object.... The velocity starts out positive, then keeps decreasing, going to zero velocity , then keeps getting more negative velocity

OpenStudy (danjs):

The object is going in one direction and slows down to a stop and goes the other direction

OpenStudy (danjs):

so the position function of that description looks kina like say a parabola

OpenStudy (danjs):

Throwing a ball, starts at a huge + velocity, and has a constant acceleration opposing the motion, the ball slows to a stop (top of parabola) (where f '(x) = 0) and accelerates at the same constant rate in the opposite direction

OpenStudy (danjs):

|dw:1419990917482:dw|

OpenStudy (danjs):

see how if the f '(x) is constantly decreasing, with an initial positive value, that it describes the curved graph above

OpenStudy (danjs):

f ' (x) is the rate of change at any point on f (x)

OpenStudy (danjs):

the rate of change at f '(x) is the same as the horizontal tangent at the top of the curve of f(z)

OpenStudy (danjs):

Now that you can visualize what f looks like, take each answer one at a time

OpenStudy (danjs):

Inflection at x=0? concavity changes, NO, it is always concave downwards

OpenStudy (danjs):

lol are you kinda with me ?

OpenStudy (danjs):

The graph has a relative maximul at x=0? looks like it

OpenStudy (anonymous):

oops didnt read that right hahhha

OpenStudy (danjs):

the graph is always concave down...YES

OpenStudy (danjs):

There are no inflection points on the graph of f... so the first one is the False one

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