Problem 2
For a set of ordered pairs, the variable corresponding to the first coordinate is the __________ variable and the variable corresponding to the second coordinate is the __________ variable.
Problem 6
The set of all points in a plane that lie a fixed distance from a given point in the plane is a(n) ______________.
Problem 23
Consider a square with side of length s, diagonal of length d, perimeter \(P\), and area A. Make a sketch. Write \(s\) as a function of \(d\).
Problem 25
Consider a square with side of length s, diagonal of length d, perimeter \(P\), and area A. Make a sketch. Write \(P\) as a function of \(s\).
Problem 29
Graph each function by plotting points and state the domain and range. If you have a graphing calculator, use it to check your results. $$ y=2 x-1 $$
Problem 53
Use transformations to graph each function. $$ y=-(x-3)^{2}+1 $$
Problem 55
Determine the center and radius of each circle and sketch the graph. $$ (x+6)^{2}+y^{2}=36 $$
Problem 56
Use transformations to graph each function. $$ y=3(x+1)^{2}-5 $$
Problem 61
Determine whether the graph of each function is symmetric about the \(y\) -axis or the origin. Indicate whether the function is even, odd, or neither. $$ f(x)=x^{4}-x^{3} $$
Problem 67
Cost of Window Cleaning If a window cleaner charges \(\$ 50\) per visit plus \(\$ 35\) per hour, express the total charge \(C\) as a function of the number of hours worked, \(n\).