91Ó°ÊÓ

Determine whether each statement makes sense or does not make sense, and explain your reasoning. The rectangular coordinate system provides a geometric picture of what an equation in two variables looks like.

Determine whether each statement makes sense or does not make sense, and explain your reasoning. There is something wrong with my graphing utility because it is not displaying numbers along the \(x\) - and \(y\) -axes.

In Exercises \(67-70,\) graph both equations in the same rectangular coordinate system and find all points of intersection. Then show that these ordered pairs satisfy the equations. $$\begin{aligned} x^{2}+y^{2} &=9 \\ x-y &=3 \end{aligned}$$

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I used the ordered pairs \((-2,2),(0,0),\) and \((2,2)\) to graph a straight line.

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I used the ordered pairs (time of day, calories that I burned) to obtain a graph that is a horizontal line.

Begin by graphing the square root function, \(f(x)=\sqrt{x},\) Then use transformations of this graph to graph the given function. $$h(x)=-\sqrt{x+2}$$

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. If a point is on the \(y\) -axis, its \(x\) -coordinate must be 0

Describe how to use the graph of a one-to-one function to draw the graph of its inverse function.

List the quadrant or quadrants satisfying each condition. $$x y>0$$

In your own words, describe how to find the distance between two points in the rectangular coordinate system.