There are exactly opposite than vertical shifts and

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Unformatted text preview: form for the constant function is, f ( x) = c where c is some number. Let’s take a look at f ( x ) = 4 so we can see what the graph of constant functions look like. Probably the biggest problem students have with these functions is that there are no x’s on the right side to plug into for evaluation. However, all that means is that there is no substitution to do. In other words, no matter what x we plug into the function we will always get a value of 4 (or c in the general case) out of the function. So, every point has a y coordinate of 4. This is exactly what defines a horizontal line. In fact, if we recall that f ( x ) is nothing more than a fancy way of writing y we can rewrite the function as, y=4 And this is exactly the equation of a horizontal line. Here is the graph of this function. Square Root Next we want to take a look at f ( x ) = x . First, note that since we don’t want to get complex numbers out of a function evaluation we have to restrict the values of x that we can plug in. We © 2007 Paul Dawkins 224 College Algebra can only plug in v...
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This note was uploaded on 06/06/2012 for the course ICT 4 taught by Professor Mrvinh during the Spring '12 term at Hanoi University of Technology.

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