Asked by Anonymous
the graph of a piecewise linear function f, for -1<x<4. what is the value of integral (-1 to 4) F(x) dx?
the interval i gave is grerater than or equal to and less than and equal to. i didn't know how to put the underscore under the symbol. for the integral, -1 is on the bottom of the integral symbol and 4 is on the top.
anyway, since i can't draw the graph, here are the points: (-1,0) (0,2) (1,2) (2,0) (3,-1) (4,-1)
the ilnes connecting the dots is straight, no curves and stuff.
if you look at the overall graph, i can separate it into triangles and squares. so i did that and i added up the total area of each shape and got
5.5.
the second way i did it:
when i drew the graph, part of it is under the x-axis so when i was trying to find the area, i subtracted that from the the area of the other part of the graph and i got 4.
this is a multiple choice question, both the answers were in there, so now i'm confused. which one is right?
sorry if my explanation is to wordy or confusion. did the best i can
If I'm not mistaken, wouldn't the answer be 2.5? I have the exact same problem in front of me; I approximated using rectangles (half values for triangles). The area above the curve was 4, and below was 1.5... shouldn't you subtract the 1.5 from the 4?
the interval i gave is grerater than or equal to and less than and equal to. i didn't know how to put the underscore under the symbol. for the integral, -1 is on the bottom of the integral symbol and 4 is on the top.
anyway, since i can't draw the graph, here are the points: (-1,0) (0,2) (1,2) (2,0) (3,-1) (4,-1)
the ilnes connecting the dots is straight, no curves and stuff.
if you look at the overall graph, i can separate it into triangles and squares. so i did that and i added up the total area of each shape and got
5.5.
the second way i did it:
when i drew the graph, part of it is under the x-axis so when i was trying to find the area, i subtracted that from the the area of the other part of the graph and i got 4.
this is a multiple choice question, both the answers were in there, so now i'm confused. which one is right?
sorry if my explanation is to wordy or confusion. did the best i can
If I'm not mistaken, wouldn't the answer be 2.5? I have the exact same problem in front of me; I approximated using rectangles (half values for triangles). The area above the curve was 4, and below was 1.5... shouldn't you subtract the 1.5 from the 4?
Answers
Answered by
your righhtttt
my name ! :)
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.