Which of the following statements are true?
A) The function $y = \alpha + \beta \cdot \log ( x )$
Is intrinsically linear.
B) The reciprocal function $y = \alpha + \beta / x$
Can be linearized by the transformation $x ^ { t } = 1 / x$
)
C) For an exponential function relationship $y = \alpha e ^ {β x }$
, only y is transformed to achieve linearity.
D) All of the above statements are true.
E) None of the above statements are true.

Question

Which of the following statements are true?
A) The function $y = \alpha + \beta \cdot \log ( x )$
Is intrinsically linear.
B) The reciprocal function $y = \alpha + \beta / x$
Can be linearized by the transformation $x ^ { t } = 1 / x$
)
C) For an exponential function relationship $y = \alpha e ^ {β x }$ 
, only y is transformed to achieve linearity.
D) All of the above statements are true.
E) None of the above statements are true.

Quizplus · Accepted Answer

All of the given statements are true.A) The function $y = \alpha + \beta \cdot \log ( x )$ is intrinsically linear because it can be written in the form $y = mx + b$, where $m = \beta$ and $b = \alpha$.B) The reciprocal function $y = \alpha + \beta / x$ can be linearized by the transformation $x ^ { t } = 1 / x$ because this transformation converts the reciprocal function into a linear function.C) For an exponential function relationship $y = \alpha e ^ {β x }$, only y is transformed to achieve linearity. This is because the exponential function can be linearized by taking the natural logarithm of both sides of the equation, which gives $ln(y) = ln(\alpha) + βx$.

Which of the Following Statements Are True? A) the Function y=α+β⋅log⁡(x)y = \alpha + \beta \cdot \log ( x )y=α+β⋅log(x)

Which of the Following Statements Are True?
A) the Function $y = \alpha + \beta \cdot \log ( x )$