Use the intermediate value theorem to explain why the function f(x) = x2 - 4 must have at least one zero in the interval (-5,-1) 5. Use the following graph of the function to answer the following questions. 6. HA yfix) Determine all point of discontinuity. At each point of discontinuity, state the condition for continuity that is violated. Determine the values of x where f (x) is not differentiable. State why each value is not differentiable. What is the equation of the tangent line of f(x) x2-x + 2 at x = 3? 7.

Question

please answer question 5 and 6 

Use the intermediate value theorem to explain why the function f(x) = x2 - 4 must have at least one
zero in the interval (-5,-1)
5.
Use the following graph of the function to answer the following questions.
6.
HA
yfix)
Determine all point of discontinuity. At each point of discontinuity, state the condition for continuity that is violated.
Determine the values of x where f (x) is not differentiable. State why each value is not differentiable.
What is the equation of the tangent line of f(x) x2-x + 2 at x = 3?
7.

Image Transcription

Use the intermediate value theorem to explain why the function f(x) = x2 - 4 must have at least one zero in the interval (-5,-1) 5. Use the following graph of the function to answer the following questions. 6. HA yfix) Determine all point of discontinuity. At each point of discontinuity, state the condition for continuity that is violated. Determine the values of x where f (x) is not differentiable. State why each value is not differentiable. What is the equation of the tangent line of f(x) x2-x + 2 at x = 3? 7.

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Functions