Answer:
B
Explanation:
The horizontal line test is used to determine whether a function is one-one when its graph is given. We have already seen the condition (g(x1) = g(x2) ⇒ x1 = x2) to determine whether a function g(x) is one-one algebraically. On the other hand, to test whether the function is one-one from its graph,
• just take a horizontal line (consider a horizontal stick) and make it pass through the graph.
• If the horizontal line is NOT passing through more than one point of the graph at any point in time, then the function is one-one.
• If the horizontal line passes through more than one point of the graph at some instance, then the function is NOT one-one.
In the first image we see that One to one function graph is similar to the second image graph which is f(x) = x³ - 8x