Explain why the function is discontinuous at the given number a. (Select all that apply.) 2x2 - 7x - 4 if x + 4 f(x) = x - 4 a = 4 (8 if x = 4 O f(4) is undefined. lim f(x) does not exist. X4 lim f(x) and lim f(x) are finite, but are not equal. x-4+ X4 f(4) and lim f(x) are finite, but are not equal. X4 none of the above Sketch the graph of the function. y y y 12 12 12 10 10 10
Explain why the function is discontinuous at the given number a. (Select all that apply.) 2x2 - 7x - 4 if x + 4 f(x) = x - 4 a = 4 (8 if x = 4 O f(4) is undefined. lim f(x) does not exist. X4 lim f(x) and lim f(x) are finite, but are not equal. x-4+ X4 f(4) and lim f(x) are finite, but are not equal. X4 none of the above Sketch the graph of the function. y y y 12 12 12 10 10 10
Chapter2: Functions And Their Graphs
Section2.3: Analyzing Graphs Of Functions
Problem 4ECP
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Transcribed Image Text:Explain why the function is discontinuous at the given number a. (Select all that apply.)
2x2
- 7x
4
if x + 4
f(x) =
X - 4
a = 4
8.
if x = 4
f(4) is undefined.
lim f(x) does not exist.
X→4
lim
f(x) and
lim
f(x) are finite, but are not equal.
x→4+
x→4-
f(4) and lim f(x) are finite, but are not equal.
X→4
none of the above
Sketch the graph of the function.
y
y
y
12|
12|
12|
10
10
10
8
8
8
6
4
4
4
2
2
2
4 6
8
10
12
4
6
8
10
12
2
4
6 8
10
12
y
12
10
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