Graph the function represented by each side of the equation in the same viewing rectangle and so

Graph the function represented by each side of the equation...

Key Concepts

Intersection of Graphs

The intersection of graphs is the point where two functions yield the same output value for a given input. When both sides of an equation are graphically represented as separate functions, their intersection point provides a visual solution to the equation, signifying the value of the variable where the expressions are equal.

Linear Equations

Linear equations involve expressions where the variable appears to the first power and the graph of these equations yields a straight line. Understanding linear equations is crucial as they are fundamental in algebra and are manipulated through operations like addition, subtraction, multiplication, and division to isolate the variable.

Graphical Representation of Functions

Graphing functions means plotting the relationship defined by an equation on a coordinate plane. For linear functions in particular, the representation is a straight line determined by its slope and y-intercept. This visual format helps in analyzing the behavior and relationship between variables.

Transcript

00:01 In this problem, we're being asked to solve the given equation by graphic.

00:04 So if you have your graph and calculator, go to your y equals menu, and for your y sub 1 equation, we're going to do the left -hand side.

00:11 So that would be 0 .035x plus 0 .029 times 8 ,706 minus x.

00:21 Okay, so then you're going to scroll down to your y -sub -2 equation, and then we're going to type in the right -hand side, 285 .03.

00:29 Now, if you press graph, and if you're in your standard 10 by 10 window, you'll notice that you don't actually see anything.

00:35 So we're going to have to change our window.

00:37 So the question is to what? well, first off, on the right hand side, we have this equation where it's just a constant value.

00:43 So because that's our y equals, what we're going to do is we're going to press the window button.

00:48 So for our y values, i'm going to go from a ymin of 250 to a y max of 300.

00:59 Because 285 will be in between those values.

01:01 So then it will at least be able to see where they cross.

01:04 Now, if you still just do your, if you then go ahead and just press graph from as is, you'll see that now you can see that horizontal line, but you don't see this y sub 1 equation.

01:14 So how are we going to change our values for x? well, first off, i know that x is going to end up having to be positive because our y values positive...

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