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# Exercise #19

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### Exercise #19

1. 1. Exponential FunctionsExercise #19Pre-Calculus 40Sf ( x) a x where a 0ExampleSketch f ( x) 2x y xExample x 1f ( x) 2 y x
2. 2. Exponential FunctionsExercise #19Pre-Calculus 40SExample f ( x) 1x y xCharacteristics of Exponential Functions (in the above three examples) A) Domain B) Range C) Common PointIf a 1 , then ____________________________________________If 0 a 1 , then _________________________________________If a 1 , then ___________________________________________
3. 3. Exponential FunctionsExercise #19Pre-Calculus 40STransformationsDetermine what each of the following does to transform the graph y a x . State thedomain, range, y-intercept and whether the function is increasing or decreasing. x 1. y 2 Transformation: Domain: Range: Y Int: : 2. y 2x Transformation: Domain: Range: Y Int: : 3. y 2x 1 Transformation: Domain: Range: Y Int: : 4. y 2x 1 Transformation: Domain: Range: Y Int: : 5. y 2x 1 Transformation: Domain: Range: Y Int: :TrySketch f ( x) 3x 3 4 hint: start with the function f ( x) 3x y x
4. 4. Exponential FunctionsExercise #19Pre-Calculus 40STry 2x f ( x) 2 y xTry f ( x) 3(2 x 1 ) y x
5. 5. Exponential FunctionsExercise #19Pre-Calculus 40SCommon Exponents212223 3124 32 4125 33 4226 34 4327 35 4428 362921051 6152 6253 6354 64