Which of the following graph represent one-one function?
Answer & explanation
Correct answer: option 3
$\text{A function is one–one if }f(x_1)=f(x_2)\Rightarrow x_1=x_2.$
$\text{Graphically, a function is one–one if every horizontal line cuts the graph at most once.}$
$\text{The given graph is a straight line with positive slope.}$
$\text{Thus the function is strictly increasing.}$
$\text{Hence different values of }x\text{ give different values of }y.$
$\text{Any horizontal line intersects the graph only once.}$
$\text{Therefore the function represented by the graph is one–one.}$