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Data Are Given for Y as a Power Function of X

Question 407

Multiple Choice

Data are given for y as a power function of x. Write an equation for the power function, and state its power and constant
of variation.
- Data are given for y as a power function of x. Write an equation for the power function, and state its power and constant of variation. - A) \mathrm { y } = 2 \sqrt [ 3 ] { \mathrm { x } } ; Power = \frac { 1 } { 3 } ; constant of variation = 2 B) \mathrm { y } = 0.5 \mathrm { x } ; Power = 1 ; constant of variation = 0.5 C) \mathrm { y } = 2 \sqrt [ 3 ] { \mathrm { x } } ; Power = - 3 ; constant of variation = 2 D) \mathrm { y } = \sqrt { \mathrm { x } } ; Power = \frac { 1 } { 2 } ; constant of variation = 1


A) y=2x3;\mathrm { y } = 2 \sqrt [ 3 ] { \mathrm { x } } ; Power =13;= \frac { 1 } { 3 } ; constant of variation =2= 2
B) y=0.5x\mathrm { y } = 0.5 \mathrm { x } ; Power =1= 1 ; constant of variation =0.5= 0.5
C) y=2x3\mathrm { y } = 2 \sqrt [ 3 ] { \mathrm { x } } ; Power =−3= - 3 ; constant of variation =2= 2
D) y=x\mathrm { y } = \sqrt { \mathrm { x } } ; Power =12= \frac { 1 } { 2 } ; constant of variation =1= 1

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