Question

which of the following is equivalent to the function f(x)=3x-2

A. y^2=x^2
B. x= -1, 0, 1, 2, 4
y= -5, -2, 1 ,2 ,4
C. the output value is three times the value

Answer 1

Answer:

None of the options is equivalent to the given function.

Step-by-step explanation:

A.  y = f(x)

y = 3x - 2

$y^{2}=(3x-2)^{2}$

$= 9x^{2} -12x+4$

So, $y^{2} \neq x^{2}$

Hence, the function given in A is not equivalent to the given function.

B.  When x = 2, then

y = f(2) = 3(2) - 2

= 6 - 2

= 4

Hence, B is not equivalent to the given function.

C.  y = 3x - 2

This means, the output value is 2 less than 3 times the input value.

Hence, C is not equivalent to the given function.