Mathematicians B. Constante and M. Sosa are having an argument. Professor Sosa claims that it is impossible for a function y = f(x) to have the following properties: a) f(x) is continuous on [-4, 4)...

Extracted text: Mathematicians B. Constante and M. Sosa are having an argument. Professor Sosa claims that it is impossible for a function y = f(x) to have the following properties: a) f(x) is continuous on [-4, 4) b) f(-4) = 2 and f(4) = -1 c) The Intermediate Value Theorem fails in that f(x) 1 for any input r in [-4, 4]. "If f(x) is continuous, then it has to achieve every intermediate value!" exclaims Professor Sosa. “No," responds Professor Constante. "The Intermediate Value Theorem may not apply to this function. I think it is possible for conditions a)-c) to hold." Who is correct, Professor Sosa or Professor Constante? If you think Professor Sosa is correct, explain why in the space below the image. If you think Professor Constante is correct, use the image below to draw a graph of a function y = f() with the stated properties.