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UNIT 6 EXPONENTIAL FUNCTIONS Linear vs. Exponential …

UNIT 6 EXPONENTIAL FUNCTIONS . Linear vs. EXPONENTIAL FUNCTIONS (Day 1). Complete these tables below, graph each set of points. 1. Key Components x f(x). 0 -5. 1 2. 2 9. 3 16. 4 23. 5. Key Components 2. x f(x). 0 1. 1 2. 2 4. 3 8. 4. 1. Table Pattern shows _____ or _____ by same number: Linear This is pattern is called a _____ _____. FUNCTIONS Rate of Change is _____ between intervals Table Pattern shows _____ or _____ by same number: EXPONENTIAL This is pattern is called a _____ _____. FUNCTIONS Rate of Change is _____ between intervals 3. Use the function g(x) = 2x 3 to fill in the table below and graph. x g(x) a) What type of function is this and why? -3. -2. -1 b) What is the domain? 0. c) What is the range? 1. 2. d) What is the rate of change? 3. 1. 4. Use the function g(x) = ( )x to fill in the table below and graph.

Linear Functions Exponential Functions General Equation Function Notation y ax b f(x) ax b General Equation Function Notation y abx f(x) abx (recall: variable is the exponent for an exponential function) a = b = a = b = x = Exponential Function are able to have both a_____ or _____ rate of change

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