In the following questions, determine the behavior of h(x) X= If a limit does not exist or the function is undefined, write DNE. a. For what value(s) of x is h(x) undefined? x = b. For what value(s) of a does h(x) have a vertical asymptote? x = Preview c. For what value(s) of a does h(x) have a hole? d. lim h(x) = I-0 e. lim h(x) = H-00 Preview Preview Preview Preview = Preview 7x³ + 6x -x³ + 10x f. lim h(x) = 44100 g. h(0) = h. Based on your work above, on what interval(s) is h(x) continuous? Write your answer in interval notation. If you include multiple intervals, use u to denote union. Preview Box 1: Enter your answer as a list of values separated by commas: Example: -4, 3, 2 Enter each value as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity Box 2: Enter your answer as a list of values separated by commas: Example: -4, 3, 2 Enter each value as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity Box 3: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity (1:1 ← 2 2 Box 4: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity olculation (like 5/3 2^3 5+1) Preview

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.3: Rates Of Change
Problem 25E
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8)In the following questions, determine the behavior of h(x)=7x3+6x−x3+10x.

In the following questions, determine the behavior of h(x)
X=
If a limit does not exist or the function is undefined, write DNE.
a. For what value(s) of x is h(x) undefined?
x =
b. For what value(s) of a does h(x) have a vertical asymptote?
x =
Preview
c. For what value(s) of a does h(x) have a hole?
d. lim h(x) =
I-0
e. lim h(x) =
H-00
Preview
Preview
Preview
Preview
=
Preview
7x³ + 6x
-x³ + 10x
f. lim h(x) =
44100
g. h(0) =
h. Based on your work above, on what interval(s) is h(x) continuous?
Write your answer in interval notation. If you include multiple intervals, use u to denote union.
Preview
Box 1: Enter your answer as a list of values separated by commas: Example: -4, 3, 2
Enter each value as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity
Box 2: Enter your answer as a list of values separated by commas: Example: -4, 3, 2
Enter each value as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity
Box 3: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity
(1:1 ← 2 2
Box 4: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity
olculation (like 5/3 2^3 5+1)
Preview
Transcribed Image Text:In the following questions, determine the behavior of h(x) X= If a limit does not exist or the function is undefined, write DNE. a. For what value(s) of x is h(x) undefined? x = b. For what value(s) of a does h(x) have a vertical asymptote? x = Preview c. For what value(s) of a does h(x) have a hole? d. lim h(x) = I-0 e. lim h(x) = H-00 Preview Preview Preview Preview = Preview 7x³ + 6x -x³ + 10x f. lim h(x) = 44100 g. h(0) = h. Based on your work above, on what interval(s) is h(x) continuous? Write your answer in interval notation. If you include multiple intervals, use u to denote union. Preview Box 1: Enter your answer as a list of values separated by commas: Example: -4, 3, 2 Enter each value as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity Box 2: Enter your answer as a list of values separated by commas: Example: -4, 3, 2 Enter each value as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity Box 3: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity (1:1 ← 2 2 Box 4: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity olculation (like 5/3 2^3 5+1) Preview
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