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