Finding Limits Answers
8 verified answers
1
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Consider the piecewise function.
A
Limit of f (x) = 2 as x approaches 1 minus. Limit of f (x) = 9 as x approaches 1 plus.B
Limit of f (x) = 9 as x approaches 1 minus. Limit of f (x) = 2 as x approaches 1 plus.C
Limit of f (x) = negative 4 as x approaches 1 minus. Limit of f (x) = negative 4 as x approaches 1 plus.D
Limit of f (x) D N E as x approaches 1 minus. Limit of f (x) D N E as x approaches 1 plus.2
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Review the graph of the function f(x).
A
The function is only left-continuous at x = 1.B
The function is only right-continuous at x = 1.C
The function is both left-continuous and right-continuous at x = 1.D
The function is neither left-continuous nor right-continuous at x = 1.3
Which function has a removable discontinuity at x = 7?
A
f (x) = StartFraction 3 Over x minus 7 EndFraction
B
f (x) = StartFraction x squared minus 10 x + 21 Over x minus 7 EndFraction
C
f (x) = StartLayout Enlarged left-brace first row negative x, x less-than 7 second row x + 1, x greater-than-or-equal-to 7 EndLayout
D
f (x) = StartLayout Enlarged left-brace first row negative StartFraction x Over x minus 7 EndFraction, x less-than 7 second row x + 1, x greater-than-or-equal-to 7 EndLayout
5
Review the graph of piecewise function g(x).
A
Option
B
Option
C
Limit of g (x) = 0 as x approaches negative 3 minus. Limit of g (x) = negative 2.5 as x approaches negative 3 plus.
D
Limit of g (x) = negative 2.5 as x approaches negative 3 minus. Limit of g (x) = 0 as x approaches negative 3 plus.
7
For which function and interval can the extreme value theorem be applied?
A
over the interval [3, 5]
B
over the interval (6, 8)
C
f(x) = 4 tan(πx) over the interval [0, 1]D
f(x) = 3ex + 1 over the interval (1, 3)8
Which function is continuous at x = –4?
A
g (x) = StartFraction x Over (x + 4) squared EndFraction
B
g (x) = StartFraction (x + 8) (x + 4) Over x + 4 EndFraction
C
g (x) = StartLayout enlarged left-brace first row x squared, x less-than negative 4 second row negative 4 x, x greater-than-or-equal-to negative 4 EndLayout
D
g (x) = StartLayout Enlarged left-brace first row x squared minus 4, x less-than negative 4 second row 5 x, x greater-than-or-equal-to negative 4 EndLayout
9
Review the graph of a piecewise function.
A
1B
0 and 1C
–2 and 1D
–2, 0, and 110
Review the graph of function f(x).
A
The extreme value theorem applies, and f(x) has both a minimum and a maximum.B
The extreme value theorem applies, and f(x) has a maximum but not a minimum.C
The extreme value theorem does not apply, and f(x) does not have a minimum or a maximum.D
The extreme value theorem does not apply, and f(x) has a maximum but not a minimum.Did you find these answers helpful?
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