Question

The graph of the derivative, f '(x) is shown below. On what interval is the graph of f (x) decreasing?
a. Decreasing on (−∞, −4) U (2, ∞)
b. Decreasing on (−4, 2)
c. Decreasing on (−∞,−1)
d. Decreasing on (−∞, 0)

Answer 1

Picture is attached.

Answer 2

f'<0 tells us f is decreasing
f'>0 tells us f is increasing

Answer 3

so can you look at your graph and tell me for which part you see the graph is under the x-axis

Answer 4

the u shape? @freckles

Answer 5

for which x values is the curve under the x-axis though ?

Answer 6

-4 to 2

Answer 7

that's your answer
f'<0 on (-4,2)
so f is decreasing on (-4,2)

Answer 8

okay thanks! :)

Answer 9

can u help me w/ another problem?

Answer 10

@freckles

Answer 11

This might help you.

Answer 12

The end behavior of
\[f(x)=\frac{ 2+x^2 }{ x^2-36 }\]
most closely matches which of the following?

y = 1
y = -18
y = 2
y = 0

Answer 13

@freckles