For the family of functions defined by where

MATHEMATICS · Subjective · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

For the family of functions

f_p:\mathbb{R}\rightarrow\mathbb{R}

defined by

f_p(x)=e^{px}

where

p\in\mathbb{R}

, find all values of

p

for which

f_p

is one–one.