In Exercises 33 and 34, determine visually whether ∫ a b f ( x ) d x is positive, negative, or zero, and express ∫ a b f ( x ) d x in terms of area A. a. b.
In Exercises 33 and 34, determine visually whether ∫ a b f ( x ) d x is positive, negative, or zero, and express ∫ a b f ( x ) d x in terms of area A. a. b.
Solution Summary: The author explains how to calculate whether displaystyleaoversetbintf(x)dx is positive, negative or zero.
Part 1. For what values of x does f fail to be continuous?
A) -5
B) -4
C) -3
D) -2
E) -1
G) 0
I) 1
H) 2
J) 3
K) 4
L) 5
Part 2. Now what for what values of x, does g fail to be continuous?
A) -5
B) -4
C) -3
D) -2
E) -1
G) 0
I) 1
H) 2
J) 3
K) 4
Show that if f is continuous on the entire real number line, then
1. Find these values. a) ⌊1.1⌋ b) ⌈1.1⌉ c) ⌊−0.1⌋ d) ⌈−0.1⌉ e) ⌈2.99⌉ f ) ⌈−2.99⌉
2. Determine whether each of these functions from {a, b, c, d} to itself is one-to-one.
a) f(a) = b, f(b) = a, f(c) = c, f(d) = d
b) f(a) = b, f(b) = b, f(c) = d, f(d) = c
3. Give an example of a function from N to N that is
a) one-to-one but not onto.
b) onto but not one-to-one.
c) both onto and one-to-one (but different from the identity function).
d) neither one-to-one nor onto
Precalculus Enhanced with Graphing Utilities (7th Edition)
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