  # Let f (x) = 3ex − 3xThe function f is increasing on the following interval(s):(−∞,∞)(−∞, a)    (−∞, a](a, ∞)[a, ∞)(−∞, a) ∪ (b, ∞)(−∞, a] ∪ [b, ∞)(a, b)[a, b]Nonea =  b =  f is decreasing on the following interval(s):(−∞, ∞)(−∞, c)    (−∞, c](c, ∞)[c, ∞)(−∞, c) ∪ (d, ∞)(−∞, c ] ∪ [d, ∞)(c, d)[c, d]Nonec =  d =

Question
Let f (x) = 3ex − 3x

The function f is increasing on the following interval(s):

(−∞,∞)
(−∞, a)

(−∞, a]
(a, ∞)
[a, ∞)
(−∞, a) ∪ (b, ∞)
(−∞, a] ∪ [b, ∞)
(a, b)
[a, b]
None

a =

b =

f is decreasing on the following interval(s):

(−∞, ∞)
(−∞, c)

(−∞, c]
(c, ∞)
[c, ∞)
(−∞, c) ∪ (d, ∞)
(−∞, c ] ∪ [d, ∞)
(c, d)
[c, d]
None

c =

d =

check_circleExpert Solution
Step 1

If f'(x) > 0 then f(x) will be increasing.

For x>0, f(x) wi...

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### Calculus 