Please help. Will FAN AND MEDAL!

If the area under the curve of f(x) = 25 – x2 from x = –4 to x = 0 is estimated using four approximating rectangles and left endpoints, will the estimate be an underestimate or overestimate?

a. Underestimate
b. Overestimate
c. The area will be exact
d. The area cannot be estimated with just four rectangles

Question

Please help. Will FAN AND MEDAL!

If the area under the curve of f(x) = 25 – x2 from x = –4 to x = 0 is estimated using four approximating rectangles and left endpoints, will the estimate be an underestimate or overestimate?

a. Underestimate
b.  Overestimate
c. The area will be exact
d. The area cannot be estimated with just four rectangles

anonymous · Answer

do you know what $y=25-x^2$ looks like?

aryana_maria2323 · Answer

No I do not

anonymous · Answer

really? i am not sure i believe you, if you are taking a calc class this quadratic should be familiar

anonymous · Answer

it is a parabola that opens down, with vertex at $(0,25)$ here is a picture just over the interval $[-4,0]$ which is the only interval you are interested in http://www.wolframalpha.com/input/?i=25-x^2+domain+-4..0

anonymous · Answer

since the function is increasing over that interval, if you take left hand endpoints it will be a lower estimate, since all the rectangles will lie under the curve

anonymous · Answer

oh, and they don't even ask for that estimate, so that is all you have to say !

aryana_maria2323 · Answer

Sorry I was totally reading the first question you asked me wrong. So with what you said letter D will be the answer?

aryana_maria2323 · Answer

@satellite73

anonymous · Answer

no not letter D

anonymous · Answer

read what i wrote above, it gives you the answer