g) Is there a value of that makes the function continuous at If so, what is that value? k g x = 0? 5. Please find out where the following functions are continuous: a) b) c) d) 6. Find the value of if any, that would make the following function continuous at k, x = 4. 7. Prove that the function has at least one solution in the interval [1, 2]. Also, prove that the function has at least one solution in the interval 8. Use the of derivative to find the derivative of the function . Note that we of course know by our definition various shortcut rules that the derivative is . Do the same for the function and for (use definition!)
g) Is there a value of k that makes the function g continuous at x = 0? If so, what is that value? 5. Please find out where the following functions are continuous: a) b) c) d) 6. Find the value of k, if any, that would make the following function continuous at x = 4. 7. Prove that the function has at least one solution in the interval [1, 2]. Also, prove that the function has at least one solution in the interval 8. Use the definition of derivative to find the derivative of the function . Note that we of course know by our various shortcut rules that the derivative is . Do the same for the function and for (use definition!)
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