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

None of the options is equivalent to the given function.

Explanation:

A. y = f(x)

y = 3x - 2

`y^(2)=(3x-2)^(2)`

`= 9x^(2) -12x+4`

So,
`y^(2) \\eq 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.