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Created with Fabric.js 1.4.5 Domain: -∞ x Range: C=5, or x=5End Behavior: f(x) --> 5, as x --> f(x) --> 5, as x --> -∞This means thatas x reaches positiveor negative infinity,f(x) will remain 5.Equation: f(x)=C or f(x)=5 f(x)=5 Transformations of the constant function kf(x) Parent Functions Project Constant Function f(x)=C The red/maroon colored line is the graph of f(x)=5. By: Kailash S. (Where k is the number being changed) f(kx) f(x)+k f(x+k) f(x+2) --> the graph stays the samef(x-2) --> the graph stays the samef(x+1/2) --> the graph stays the samef(x-1/2) --> the graph stays the sameThis transformation moves the graph left or right.Since the constant function goes forever from left to right, we cannot see the transformations of the graph. Parent Functions Project: Constant Function By: Kailash S. Parent Functions Project: Constant Function 2f(x) --> the graph moves up to the y-value 10-2f(x) --> the graph moves down to the y-value -101/2 f(x) --> the graph moves down to the y-value 2.5-1/2 f(x) --> the graph moves down to the y-value -2.5 f(2x) --> the graph stays the samef(-2x) --> the graph stays the samef(1/2 x) --> the graph stays the samef(-1/2 x) --> the graph stays the sameThe transformations cuts the graph in halfor doubles the graph towards the middle and since the graph goes on forever from left to right, we cannot see the transformations of the graphs. f(x)+2 --> the graph moves 2 units upf(x)-2 --> the graph moves 2 units downf(x)+1/2 --> the graph moves 1/2 units upf(x)-1/2 --> the graph moves 1/2 units down Facts aboutthe ConstantFunction f(x)=5:
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