Expanding the walls of our classroom. This is an interactive learning ecology for students and parents in our Algebra 2 class. This ongoing dialogue is as rich as YOU make it. Visit often and post your comments freely.
An easy way to tell if a graph is a function or not is to use the vertical and/or horizontal line test. If the vertical or horizontal line passes through the graph more than once, than it's not a function.
This section off of wikibooks helped me understand linear equations and functions :
Linear Equations and Functions This section shows the different ways we can algebraically write a linear function. We will spend some time looking at a way called the "slope intercept form" that has the equation .
Linear Equations and Functions Unless a domain for x is otherwise stated, the domain for linear functions will be assumed to be all real numbers and so the lines in graphs of all linear functions extend infinitely in both directions. Also in linear functions with all real number domains, the range of a linear function will cover the entire set of real numbers for y, unless the slope m = 0 and the function equals a constant. In such cases, the range is simply the constant.
to use the virtical line test you draw vertical lines through the line and make sure that the vertical lines only go through one point on the line. I am a bit confused about the horizontal line test still though.
The comment I made about the horizontal line test was wrong. I need to look that up and see what it really does. Sorry if there was any confusion Amelia.
This section off of wikibooks helped me understand linear equations and functions :
ReplyDeleteLinear Equations and Functions
This section shows the different ways we can algebraically write a linear function. We will spend some time looking at a way called the "slope intercept form" that has the equation .
Linear Equations and Functions
Unless a domain for x is otherwise stated, the domain for linear functions will be assumed to be all real numbers and so the lines in graphs of all linear functions extend infinitely in both directions. Also in linear functions with all real number domains, the range of a linear function will cover the entire set of real numbers for y, unless the slope m = 0 and the function equals a constant. In such cases, the range is simply the constant.
to use the virtical line test you draw vertical lines through the line and make sure that the vertical lines only go through one point on the line. I am a bit confused about the horizontal line test still though.
ReplyDeleteThe comment I made about the horizontal line test was wrong. I need to look that up and see what it really does. Sorry if there was any confusion Amelia.
ReplyDelete1. A function is a relation in which, for each value of the first component of the ordered pairs, there is exactly one value of the second component.
ReplyDelete2. A function is a set of ordered pairs in which no first component is repeated.
3. A function is a rule or correspondence that assigns exactly one range value to each domain value.