Now that we have solved the domain and range algebraically we can verify our answers using a graphical approach.
Therefore, there is not a possible way to every achieve y = 0 because 3 divided by anything will never by 0. Once again we must take into consideration that the x is in the denominator. To solve for the range we must consider all of the y values that are possible for the function. This is the only value for x that is not possible so the domain is. Therefore, x = 0 is not a possible value for the function. If x = 0 then the function would be undefined because 0 cannot be in the denominator. The x is in the denominator which means some values of x will not be possible. To solve for the domain algebraically we need to consider what x values are possible for this function. The range of a function is the set of all possible outputs, or dependent variables, for the function.ĭomain and range can be found algebraically or by graphing.Įxample: Find the domain and range for the function The domain of a function is the set of all possible inputs, or independent variables, for the function. If there is any point at which the vertical line passes through the graph of the equation more than once, then it is not a function. Imagine moving a vertical line back and forth across the graph (You can use your pencil or the edge of a ruler for this.). You can tell if an equation is a function by performing the vertical line test. To solve this we will substitute x = 2 into our function. To find the function value given the value of the function, plug in the value of the function given for x.Įxample: Let, find the function values of. Where is the value of the function, y is the dependent variable, and x is the independent variable. Information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you areĮither the copyright owner or a person authorized to act on their behalf.A function is relationship between two variables such that each independent variable has only one dependent variable. Your copyright is not authorized by law, or by the copyright owner or such owner’s agent (b) that all of the Your name, address, telephone number and email address andĪ statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe Which specific portion of the question – an image, a link, the text, etc – your complaint refers to Link to the specific question (not just the name of the question) that contains the content and a description of Sufficient detail to permit Varsity Tutors to find and positively identify that content for example we require Please follow these steps to file a notice:Ī physical or electronic signature of the copyright owner or a person authorized to act on their behalf Īn identification of the copyright claimed to have been infringed Ī description of the nature and exact location of the content that you claim to infringe your copyright, in \ On or linked-to by the Website infringes your copyright, you should consider first contacting an attorney. Thus, if you are not sure content located Misrepresent that a product or activity is infringing your copyrights. Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially Your Infringement Notice may be forwarded to the party that made the content available or to third parties such Means of the most recent email address, if any, provided by such party to Varsity Tutors. Infringement Notice, it will make a good faith attempt to contact the party that made such content available by If Varsity Tutors takes action in response to Information described below to the designated agent listed below. Or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one The problem asks us to determine which choice does NOT belong to T. In order to find the factors of 48, list the pairs of numbers whose product is 48.ġ and 48 2 and 24 3 and 16 4 and 12 6 and 8 First, let's find the factors of 48, which will give us all of the elements in P.
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