Question

Sketch the graph of the function f(x)=0 if x<−5 4 if −5≤x<4 8−x if 4≤x<9 −1 if x≥9

Let g(x)=∫x−5f(t)dt.

(a) Then g(−9)= , g(−3)= , g(4)= , g(8)= , g(9)= , and g(11)=

Answer 1

\[\int\limits_{-5}^{x}f(x)\]

Answer 2

so let's start with the sketch
can you draw the graph using the draw tool?

Answer 3

I'm not 100% on how to graph it

Answer 4

well first we have y=0 for everything before x=-5