Algebra Functions Domain and range Domain of a function Domain and Range of a Relation Domain and Range of a Function Given a Formula Domain and Range 1 Domain of a Radical Function Domain of a function Domain and Range 2 Domain and Range of a Function Range of a function Domain and range Domain and Range 2 Domain and Range 2 Practice this concept Back Domain and Range 2 ⇐ Use this menu to view and help create subtitles for this video in many different languages. You'll probably want to hide YouTube's captions if using these subtitles. We are asked to represent the following function on the coordinate plane. And they give us domain, and then they give us a range, a set of values that our function can take on. And the way the question has been phrased, I'm assuming they assume that the negative 8 maps to the 4, the negative 6 maps to the 3, the negative 4 maps to the 2, the negative 2 maps to 1, and the 0 maps to 0. Because you could have another function with this exact same domain, and this exact same range, where the mapping is different, where negative 8 maps to 3, and negative 6 maps to 4. So this domain and this range could be for many different functions. But when they say represent the following function, I'm assuming that they want us to assume that they're kind of in order, the pairing. So let's just graph this function, or represent it using their terminology. So let me draw some axes here. So this is the domain, the independent variable, just like that, often known as the x-axis or the horizontal axis. And all of our domain, all of the values, these are all non-positive numbers, so let me give a lot more space to quadrant II. All of our range are positive numbers. They're going to be hanging out in the top left quadrant, or quadrant II, just like that. And the values that my domain can take on are 0 through negative 8, and every even negative number. So it's 0, let me do it like this, so 0 is there. And then we have negative 2, negative 4, negative 6, and then we have negative 8 just like that. And then our range goes from 0 through 4. So this is 0, then you have 1, then you have 2, then you have 3, and then you have 4. So if we assume the mapping, that if you give this function a negative 8, it's going to map to 4, then we can plot it here. So if we take this first pair right there, you give me a negative 8, this function is going to give me a 4. So negative 8, 4 is that point right there. So if you imagine that this is the x-axis, this would be the f of x axis, if we're assuming that f is this function. You give me a negative 6, I'll give you a 3. Negative 6 and 3. You give me a negative 4, this function will pop out a 2. Negative 4 comma 2. And then you give a negative 2, this function will pop out a 1. F of negative 2 is 1. And then finally, f of 0 is 0. So we'll just plot it right there. So that's the function. I've represented it. And remember, I just assumed that negative 8 maps to 4, negative 6 maps to 3, but you could have multiple functions that have this domain and range. But just the way that they said the following function, I'm assuming this is what they want us to do. Questions Tips & Feedback Be specific, and indicate a time in the video: At 5:31, how is the moon large enough to block the sun? Isn't the sun way larger? Have something that's not a question about this content? Post a tip or feedback General discussion about the site Report a technical problem with the site Request a video or feature This discussion area is not meant for answering homework questions. Formatting tips Cancel or ( total) Share a tip When naming a variable, it is okay to use most letters, but some are reserved, like 'e', which represents the value 2.7831... Suggest a fix At 2:33, Sal says "double bonds" but should say "single bonds." Have something that's not a tip or feedback about this content? Ask a question General discussion about the site Report a technical problem with the site Request a video or feature This discussion area is not meant for answering homework questions. Formatting tips Cancel or Discuss the site For general discussions about Khan Academy, visit our Reddit discussion page. Flag inappropriate posts Here are posts to avoid making. If you do encounter them, flag them for attention from our Guardians. abuse disrespectful or offensive an advertisement not helpful low quality not about the video topic soliciting votes or seeking badges a homework question a duplicate answer repeatedly making the same post wrong category a tip or feedback in Questions a question in Tips & Feedback an answer that should be its own question about the site a question about Khan Academy (Visit our FAQ) a post about badges a technical problem with the site (Report a problem) a request for videos or features
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