Use a graphing utility to locate the value of x where f(x) = x⁴- 3x + 11 has an absolute minimum, if it exists. A) 1 C) 0 D) None exists E) -11

Question

Quizplus · Accepted Answer

Using a graphing utility, we can graph the function f(x) = 3x + 11 and observe that it is a linear function with a positive slope of 3. Therefore, the function does not have an absolute minimum. However, if we restrict the domain to the interval [0,11], we can see that the function has an absolute minimum at x=11. Therefore, the answer is B.

Use a Graphing Utility to Locate the Value of X