Hello, I am Haru and I have difficulties to solve the following problems. It would be much appreciated if someone can help me. Sorry for asking so many questions. And wish you Merry Christmas.
Let
condition 1:
f(x) = 0 ..................................if x is smaller than -3;
f(x) = 3 .................................if x larger or equal to -3 but smaller than 1;
f(x) = -4 ................................if x is larger than or equal to 1 but smaller than 5;
f(x) = 0 ................................ if x is larger or equal to 5
and
condition 2:
g(x)= ∫ f(t)dt (which the lower bound (from): -3 and the upper bound (to): x)
~ For this question, I am not able to find the value of g(2), g(6) and I do not know how to plot a graph of g(x). As a result, I am not able to find the absolute maximum of g(x).
Let
condition 1:
f(x) = 0 ..................................if x is smaller than -3;
f(x) = 3 .................................if x larger or equal to -3 but smaller than 1;
f(x) = -4 ................................if x is larger than or equal to 1 but smaller than 5;
f(x) = 0 ................................ if x is larger or equal to 5
and
condition 2:
g(x)= ∫ f(t)dt (which the lower bound (from): -3 and the upper bound (to): x)
~ For this question, I am not able to find the value of g(2), g(6) and I do not know how to plot a graph of g(x). As a result, I am not able to find the absolute maximum of g(x).