Question

Sketch the graph of the function $ f(x)=\left\{\begin{array}{l}0 \text { if } x<-4 \\ 4 \text { if }-4 \leq x<4 \\ 8-x \text { if } 4 \leq x<10 \\ -2 \text { if } x \geq 10\end{array}\right. $ Let $ g(x)=\int_{-4}^{x} f(t) d t $. (a) Then $ g(-6)= $ $ \square $ $ g(0)= $ $ \square $ $ g(4)= $ $ \square $ $ g(8)= $ $ \square $ $ g(10)= $ $ \square $ , and $ g(12)= $ $ \square $ . (b) $ g $ is increasing on the interval $ (A, B) $ where $ A= $ $ \square $ and $ B= $ $ \square $ $ ? $. (c) $ g $ has a maximum value at $ x= $ $ \square $ $ ? $.

          Sketch the graph of the function \( f(x)=\left\{\begin{array}{l}0 \text { if } x<-4 \\ 4 \text { if }-4 \leq x<4 \\ 8-x \text { if } 4 \leq x<10 \\ -2 \text { if } x \geq 10\end{array}\right. \)
Let \( g(x)=\int_{-4}^{x} f(t) d t \).
(a) Then \( g(-6)= \) \( \square \) \( g(0)= \) \( \square \) \( g(4)= \) \( \square \) \( g(8)= \) \( \square \) \( g(10)= \) \( \square \) , and \( g(12)= \) \( \square \) .
(b) \( g \) is increasing on the interval \( (A, B) \) where \( A= \) \( \square \) and \( B= \) \( \square \) \( ? \).
(c) \( g \) has a maximum value at \( x= \) \( \square \) \( ? \).

$Sketch the graph of the function f(x)={ 0 if x<-4 4 if -4 ≤ x<4 8-x if 4 ≤ x<10 -2 if x ≥ 10 . Let g(x)=∫-4^x f(t) d t. (a) Then g(-6)= □ g(0)= □ g(4)= □ g(8)= □ g(10)= □ , and g(12)= □ . (b) g is increasing on the interval (A, B) where A= □ and B= □ ?. (c) g has a maximum value at x= □ ?.$

Added by Steven H.

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