2. The parts that follow refer to these two functions: f(x) g(x) 3- 2" = 3.22x+1 (a) Describe a sequence of transformations (e.g. shifts, stretches, compressions) that will change f(x) into g(x). Be specific when describing your transformations. (b) Prove that g(x) is an exponential function by using the Laws of Algebra and defini- tions & properties of operations to prove that g(x) can be expressed in the standard form g(x) = a · b², where a and b are parameters with a 0, b > 0, and b # 1.
2. The parts that follow refer to these two functions: f(x) g(x) 3- 2" = 3.22x+1 (a) Describe a sequence of transformations (e.g. shifts, stretches, compressions) that will change f(x) into g(x). Be specific when describing your transformations. (b) Prove that g(x) is an exponential function by using the Laws of Algebra and defini- tions & properties of operations to prove that g(x) can be expressed in the standard form g(x) = a · b², where a and b are parameters with a 0, b > 0, and b # 1.
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Exponential And Logarithmic Functions
Section11.4: Logarithmic Functions
Problem 66PS
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