Science:Math Exam Resources/Courses/MATH100/December 2011/Question 08/Statement

Full-Solution Problems. In questions 2-8, justify your answers and show all your work. If a box is provided, write your final answer there. Simplification of answers is not required unless explicitly stated.

If y = ƒ(x) is a continuous function with domain [0,1] and range in [3,5], prove that the line y = 2x + 3 intersects the graph of y = ƒ(x) at least once.