Posted by **Mishaka** on Saturday, October 22, 2011 at 6:40pm.

If g(x) is continuous for all real numbers and g(3) = -1, g(4) = 2, which of the following are necessarily true?

I. g(x) = 1 at least once

II. lim g(x) = g(3.5) as x aproaches 3.5.

III. lim g(x) as x approaches 3 from the left = lim g(x) as x approaches from the right

A. I only

B. II only

C. I and II only

D. I, II, and III

E. None of these.

I want to say that the answer should be D. I, II, and III since the function is continuous for all real numbers. Would this be correct?

## Answer this Question

## Related Questions

Calculus (Limits) - If g(x) is continuous for all real numbers and g(3) = -1, g(...

Check my CALCULUS work, please! :) - Question 1. lim h->0(sqrt 49+h-7)/h = ...

calculus - State which of the conditions are applicable to the graph of y = f(x...

Algebra 1-- Please, check my answers! - 1. What is ((-12x^6 + x)) / ((-4x^2))? ...

Math - Assume that f is a continuous function from the real numbers to the real ...

CALC 2A - True or False. If f is continuous at 5 and f(5)=2 and f(4)=3, the the ...

Math (Calc.) - 1.Use the IVT to explain why the following is true. If f ...

math 2 - let f and g be two functions defined by: f(x)=x+5, with domain all real...

calculus ap - If g is a differentiable function such that g(x) is less than 0 ...

Calculus - Explain, using the theorems, why the function is continuous at every ...