CPM Homework Help : CALC3RD Problem 8-46

Given the graph of $y = f (x)$ at right, determine the values of $k$ that will make each integral expression equivalent to $\int _ { 0 } ^ { 2 } f ( x ) d x$ .

$k \int _ { - 2 } ^ { 2 } f ( x ) d x$

$k \int _ { - 2 } ^ { 4 } f ( x ) d x$

$k \int _ { 2 } ^ { 4 } f ( x ) d x$

$k \int _ { 4 } ^ { 2 } f ( x ) d x$

Continuous linear piecewise, labeled f of x, starting at the point (negative 2, comma 0), turning at (0, comma 2), passing through (2, comma 0), ending @ (4, comma negative 2).

Hint:

$\int_{0}^{2}f(x)dx=2$

Answers:

These answers are in no particular order.
Match the answer to the problem:

$1 \ \ \ \ \ \ -1 \ \ \ \ \ \ \frac{1}{2} \ \ \ \ \ \ 1$