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Mean Value Theorem

Mean Value Theorem. What are properties of continuous functions?. What are properties of continuous functions?. They do not have gaps, cracks, or jumps throughout the whole interval. A function must be differentiable on an interval. Which below is a graph of discontinuous function ?.

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Mean Value Theorem

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  1. Mean Value Theorem

  2. What are properties of continuous functions?

  3. What are properties of continuous functions? • They do not have gaps, cracks, or jumps throughout the whole interval. • A function must be differentiable on an interval.

  4. Which below is a graph of discontinuous function?

  5. The graph below shows a discontinuous function.

  6. What is the difference between intercept and intersect? • Intercept refers ONLY to crossing either coordinate axis. • Intersect refers to crossing lines, not only axes.

  7. What do you call a point at which graphs meet? Intersection

  8. Choose the correct words to complete the Mean Value Theorem. Let a≤b. Think/Given/Suppose that f: [a,b]→IR is discontinuous/continuous/increasing. Then f takes all points/values/numbers between f(a) and f(b).

  9. What is the implication of the Mean Value Theorem? Complete the answer with the given words from the box There should always be a point at which the line crosses the continuous function graph.

  10. What is the symbol denoting a set of rational numbers? Q

  11. What does IR stand for? A set of real numbers

  12. What is the notation for an interval?How do you verbalize it? f:[a,b] The interval of function f from a to b (including points a and b)or Function f is defined on the interval a to b.

  13. Identify the following in the polynomial below: 5x8+ 2yx9 + 3x11 +2x- 34 • Constant • Coefficient • Term • Variable • Degree

  14. Identify the following in the polynomial below: • Constant : -34 • Coefficient: 5, 2, 3,2 • Term: There are 5 terms • Variable: x and y • Degree: the highest is 11

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