Determine if the function is one-to-one by noting the functions family to which it belongs and mentally picturing the shape of its graph. f(x) = 4x - 10
A) one-to-one
B) not one-to-one

Question

Quizplus · Accepted Answer

The function f(x) = 4x - 10 belongs to the family of linear functions. A linear function has a constant rate of change, which means it has a straight line graph. Since the function has a positive slope (4), it is always increasing and there are no horizontal lines that can intersect the graph more than once, therefore the function is one-to-one.

Determine If the Function Is One-To-One by Noting the Functions