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General Form and Graph for an Exponential Function

General Form and Graph for an Exponential Function. Exponential Equation. A function whose input (x) is located in the exponent . Example: Jason has $17 and quadruples his money every month. Write an equation to represent the situation. Multiplier. Initial. Exponential Table.

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General Form and Graph for an Exponential Function

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  1. General Form and Graph for an Exponential Function

  2. Exponential Equation A function whose input (x) is located in the exponent. Example: Jason has $17 and quadruples his money every month. Write an equation to represent the situation. Multiplier Initial

  3. Exponential Table There is a constant MULTIPLIER between consecutive output values. x3 x3 x3 x3

  4. Graphs of y=bx 0 < b < 1 Domain: x-intercept(s): y-intercept(s): Vertical asymptote: Decreasing, asymptote y=0 None Range: (0,1) None For any Exponential: b > 0 b > 1 b = 1 Increasing, asymptote y=0 Horizontal line y=1 Range: Range:

  5. Representations of y=abx The initial value The multiplier x b (0,a) a a is the starting point Context: b is the multiplier

  6. Why b>0 in y=bx -.125 .25 -.5 1 -2 4 -8 16 UGLY GRAPH!

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