For each function, determine whether Y varies directly with x. If so, find the constant of variation and write the function rule.

Q: determine the largest and smallest value of the function y=3sinx+4cosx

A: The objective of the question is to find the maximum and minimum values of the function y = 3sinx +…

Q: Determine whether the equation x + y = 25 defines y as a function of x.

A: Equation:          x + y = 25  Yes, the given equation defines y as a function of x.

Q: Determine whether the equation x = y2 defines y as a function of x.

A: Consider the following equation: x=y2 For x>0 there are two values of y. Substitute x=4 in the…

Q: Select TRUE if the given relation is a function, otherwise select FALSE. Assume that the coordinate…

A: function definition, and justify that circle is not an function.

Q: Determine whether the equation |x |- y = 5 defines y as a function of x.

A: |x|-y=5

Q: Determine whether the equation 2x + y = 8 defines y as a function of x.

A: Determine whether the equation 2x + y = 8 defines y as a function of x.

Q: 3. Determine the domain and range of the function y = 2cosx

A: