Understanding the Concept of a Limit Answers
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Review the graph of function f(x), which is defined for –6 ≤ x ≤ 8.
A
Limit of f (x) as x approaches 2 plusB
Limit of f (x) as x approaches 2 minusC
Limit of f (x) as x approaches negative 6 plusD
Limit of f (x) as x approaches negative 6 minus4
Review the table of values for function g(x).xg(x)0.970.997000.99970,0000.99997,000,0001undefined1.00017,000,0001.00170,0001.017001.17
A
0B
7,000,000C
700,000,000D
DNE5
Review the graph of function f(x).
A
–4B
–2C
2D
46
Review the table of values for function g(x).xg(x)32.9–732.99–6.132.999–6.0133.001–15.0133.01–15.133.1–16
A
Limit of g (x) = negative 16 as x approaches 33 minus and limit of g (x) = negative 7 as x approaches 33 plusB
Limit of g (x) = negative 15 as x approaches 33 minus and limit of g (x) = negative 6 as x approaches 33 plusC
Limit of g (x) = negative 7 as x approaches 33 minus and limit of g (x) = negative 16 as x approaches 33 plusD
Limit of g (x) = negative 6 as x approaches 33 minus and limit of g (x) = negative 15 as x approaches 33 plus7
Review the graph of function f(x).
A
The limit = –2 because the value of the function at x = 0 is –2.B
The limit does not exist because there is an open circle at (0, 4).C
The limit = 4 because both the left-hand and right-hand limits equal 4.D
The limit does not exist because there is oscillating behavior around x = 0.
10
Review the graph of function g(x).
A
0 0B
DNE DNEC
0 −2D
DNE −212
Review the graph of function f(x).
A
Option
B
Option
C
Option
D
Option
13
Review the graph of function g(x).
A
Limit of g (x) = 2 as x approaches 4 negative and limit of g (x) = negative 4 as x approaches 4 plus
B
Limit of g (x) = negative 4 as x approaches 4 negative and limit of g (x) = negative 2 as x approaches 4 plus
C
Limit of g (x) = negative 4 as x approaches 4 negative and limit of g (x) D N E as x approaches 4 plus
D
Limit of g (x) D N E as x approaches 4 negative and limit of g (x) = negative 4 as x approaches 4 plus
14
Which graph of f(x) satisfies the conditions = –4 and = 0?
A
On a coordinate plane, a line starts at closed circle (2, negative 4) and goes up through (negative 2, 0). A curve starts at open circle (2, 0) and goes to open circle (4, 2). A line starts at closed circle (4, negative 2) and goes to (6, negative 2).
B
On a coordinate plane, a line starts at closed circle (0, negative 2) and goes to (negative 6, negative 2). A curve starts at open circle (0, 2) and curves down to open circle (2, 0). A line starts at closed circle (2, negative 4) and goes to (6, 0).
C
On a coordinate plane, a line starts at closed circle (2, negative 2), goes to closed circle (negative 2, negative 4), and then goes to (negative 6, 4). A curve starts at open circle (2, 0) and curves to open circle (4, 2). A line starts at closed circle (4, negative 2) and goes to (6, negative 2).
D
On a coordinate plane, a line starts at closed circle (0, negative 3), goes to closed circle (negative 2, negative 4), and then goes to (negative 6, 4). A curve starts at open circle (0, 2) and curves down to open circle (2, 0). A line starts at closed circle (2, negative 2) and goes down to (6, negative 6).
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