e. Determine whether y = |x| is a function. O A. The equation is not a function because there are multiple y-values for at least one value of x B. The equation is not a function because there are multiple x-values for at least one value of y OC. The equation is a function. f. Determine whether |y| = x is a function. O A. The equation is not a function because there are multiple y-values for at least one value of x

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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e. Determine whether y = |x| is a function.
O A. The equation is not a function because there are multiple y-values for at least one value of x.
O B. The equation is not a function because there are multiple x-values for at least one value of y.
O C. The equation is a function.
f. Determine whether |y| = x is a function.
O A. The equation is not a function because there are multiple y-values for at least one value of x.
OB. The equation is a function.
O C. The equation is not a function because there are multiple x-values for at least one value of y.
g. Determine whether x² + y² = 16 is a function.
O A. The equation is a function.
O B. The equation is not a function because there are multiple y-values for at least one value of x.
O C. The equation is not a function because there are multiple x-values for at least one value of y.
h. Determine whether y = √x is a function.
O A. The equation is not a function because there are multiple x-values for at least one value of y.
O B. The equation is not a function because there are multiple y-values for at least one value of x.
OC. The equation is a function.
Transcribed Image Text:e. Determine whether y = |x| is a function. O A. The equation is not a function because there are multiple y-values for at least one value of x. O B. The equation is not a function because there are multiple x-values for at least one value of y. O C. The equation is a function. f. Determine whether |y| = x is a function. O A. The equation is not a function because there are multiple y-values for at least one value of x. OB. The equation is a function. O C. The equation is not a function because there are multiple x-values for at least one value of y. g. Determine whether x² + y² = 16 is a function. O A. The equation is a function. O B. The equation is not a function because there are multiple y-values for at least one value of x. O C. The equation is not a function because there are multiple x-values for at least one value of y. h. Determine whether y = √x is a function. O A. The equation is not a function because there are multiple x-values for at least one value of y. O B. The equation is not a function because there are multiple y-values for at least one value of x. OC. The equation is a function.
Which of the following equations or inequalities represent functions and which do not? In each case, x and y
are real numbers; x is in the domain and y in the range. If your answer is "not a function," explain why not.
a. x+y=4
3
c. y = x³ + x
e.y = |x|
2 2
g. x² + y² = 16
b. x-y < 4
d. xy = 3, x #0
f. lyl=x
h.y=√x
a. Determine whether x + y = 4 is a function.
O A. The equation is not a function because there are multiple x-values for at least one value of y.
B. The equation is not a function because there are multiple y-values for at least one value of x.
O C. The equation is a function.
b. Determine whether x-y < 4 is a function.
O A. The inequality is not a function because there are multiple y-values for at least one value of x.
B. The inequality is a function.
O C. The inequality is not a function because there are multiple x-values for at least one value of y.
c. Determine whether y = x² + x is a function.
O A. The equation is a function.
B. The equation is not a function because there are multiple x-values for at least one value of y.
O C. The equation is not a function because there are multiple y-values for at least one value of x.
d. Determine whether xy = 3, x #0 is a function.
O A. The equation is not a function because there are multiple y-values for at least one value of x.
B. The equation is a function.
O C. The equation is not a function because there are multiple x-values for at least one value of y.
Transcribed Image Text:Which of the following equations or inequalities represent functions and which do not? In each case, x and y are real numbers; x is in the domain and y in the range. If your answer is "not a function," explain why not. a. x+y=4 3 c. y = x³ + x e.y = |x| 2 2 g. x² + y² = 16 b. x-y < 4 d. xy = 3, x #0 f. lyl=x h.y=√x a. Determine whether x + y = 4 is a function. O A. The equation is not a function because there are multiple x-values for at least one value of y. B. The equation is not a function because there are multiple y-values for at least one value of x. O C. The equation is a function. b. Determine whether x-y < 4 is a function. O A. The inequality is not a function because there are multiple y-values for at least one value of x. B. The inequality is a function. O C. The inequality is not a function because there are multiple x-values for at least one value of y. c. Determine whether y = x² + x is a function. O A. The equation is a function. B. The equation is not a function because there are multiple x-values for at least one value of y. O C. The equation is not a function because there are multiple y-values for at least one value of x. d. Determine whether xy = 3, x #0 is a function. O A. The equation is not a function because there are multiple y-values for at least one value of x. B. The equation is a function. O C. The equation is not a function because there are multiple x-values for at least one value of y.
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