4.1.286 AP Calculus Exam .... table of f(t).

[karush]

View attachment 9426
ok these always baffle me because f(t) is not known. however if $f'(t)>0$ then that means the slope is aways positive which could be just a line. but could not picture this to work in the tables.
Im sure the answer can be found quickly online but I don't learn by copy and paste. d was attractive but where would the slope be?
so any sugest..

 

[skeeter]

check that integral statement ... you sure the upper limit is t and that it's not an inequality?

I'm thinking maybe it should be something like $\displaystyle \int_4^x f(t) \, dt > 0$

 

[Opalg]

check that integral statement ... you sure the upper limit is t and that it's not an inequality?

I'm thinking maybe it should be something like $\displaystyle \int_4^x f(t) \, dt > 0$

I'm guessing it should be \(\displaystyle \int_4^7 f(t) \, dt = 0\).

 

[karush]

View attachment 9427
here is the original
yeah probably 7 clipped

 

[skeeter]

here is the original
yeah probably 7 clipped

Well, you can throw out (C) and (D) since $f'(t)$ is not > 0 for all $t$ in the interval

You can throw out (E) since $f(t) \ge 0$ for all $t$ in the interval

You can throw out (A) since $f(t) \le 0$ for all $t$ in the interval

 

[HallsofIvy]

Since the problem only asks for a possible function, "D" leaps out immediately!