Question

a) Consider the function y=x(3-x). A function of this form will have which of the following? HINT: Determine the functional dependence of your function (linear, quadratic, cubic etc.) and relate your findings to Q3 of pre-lab 2. O A global minimum Neither a global maximum nor a global minimum O A global maximum b) At what x-position, if any, will the global maximum or minimum of the function occur? Enter 0 if no such point exists. c) If we instead consider the function, y=\sqrt{x(3-x)}, what happens to the x-position of the global maximum or minimum? O The x-position of the max/min is smaller O The x-position of the max/min is unchanged The x-position of the max/min is larger O N/A, there is no max/min to consider d) Now consider the more general function y=x(H-x). At what x-position, if any, will the global maximum or minimum of this function occur? Enter 0 if no such point exists. HINT: To solve this exercise graphically, you can visit https://www.desmos.com/calculator and type in the function exactly as written. You will be given the option to \"add a slider\" for the variable H, which will allow you to adjust different H-values quickly and easily.

          a) Consider the function y=x(3-x). A function of this form will have which of the following?
HINT: Determine the functional dependence of your function (linear, quadratic, cubic etc.) and relate your findings to Q3 of pre-lab 2.
O A global minimum
Neither a global maximum nor a global minimum
O A global maximum
b) At what x-position, if any, will the global maximum or minimum of the function occur? Enter 0 if no such point exists.
c) If we instead consider the function, y=\sqrt{x(3-x)}, what happens to the x-position of the global maximum or minimum?
O The x-position of the max/min is smaller
O The x-position of the max/min is unchanged
The x-position of the max/min is larger
O N/A, there is no max/min to consider
d) Now consider the more general function y=x(H-x). At what x-position, if any, will the global maximum or minimum of this function occur? Enter 0 if no such point exists.
HINT: To solve this exercise graphically, you can visit https://www.desmos.com/calculator and type in the function exactly as written. You will be given the option to \"add a slider\" for the variable H, which
will allow you to adjust different H-values quickly and easily.

a) Consider the function y=x(3-x). A function of this form will have which of the following?
HINT: Determine the functional dependence of your function (linear, quadratic, cubic etc.) and relate your findings to Q3 of pre-lab 2.
O A global minimum
Neither a global maximum nor a global minimum
O A global maximum
b) At what x-position, if any, will the global maximum or minimum of the function occur? Enter 0 if no such point exists.
c) If we instead consider the function, y=√(x(3-x)), what happens to the x-position of the global maximum or minimum?
O The x-position of the max/min is smaller
O The x-position of the max/min is unchanged
The x-position of the max/min is larger
O N/A, there is no max/min to consider
d) Now consider the more general function y=x(H-x). At what x-position, if any, will the global maximum or minimum of this function occur? Enter 0 if no such point exists.
HINT: To solve this exercise graphically, you can visit https://www.desmos.com/calculator and type in the function exactly as written. You will be given the option to ädd a sliderf̈or the variable H, which
will allow you to adjust different H-values quickly and easily.

Added by Tony B.

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