Key Features of Exponential Graphs Exponential Equations The

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Key Features of Exponential Graphs

Key Features of Exponential Graphs

Exponential Equations • The basic form of an exponential equation _______ start value/y-intercept •

Exponential Equations • The basic form of an exponential equation _______ start value/y-intercept • a represents the ____________ • b represents the _________ growth/decay rate • If b is > 1, the function is growing • If b is < 1, the function is decaying • Exponential equations will always have a __________ horizontal asymptote or a line the graph approaches but never crosses • To create an equation for a horizontal line _____

Exponential Transformations • Just like the other functions we learned about, exponential functions can

Exponential Transformations • Just like the other functions we learned about, exponential functions can be moved up, down, left, or right or stretched or compressed either vertically or horizontally • A value added/subtracted at the end of either an exponential function will shift the graph either _____ or _____ • + moves the graph _______ • – moves the graph _______ • A value added/subtracted with the exponent will move the graph either _____ or ______ • + moves the graph _______ • – moves the graph _______

• A value multiplied away from the exponent will stretch or compress the

• A value multiplied away from the exponent will stretch or compress the graph _________ • Numbers greater than 1 ________ the graph vertically • Numbers less than 1 __________ the graph vertically • A value multiplied with the exponent will stretch or compress the graph ___________________ • Numbers greater than 1 ___________ the graph horizontally • Numbers less than 1 __________ the graph horizontally

• 1 1 4 4 5 3 6 5 4 4 6 2

• 1 1 4 4 5 3 6 5 4 4 6 2

Key Features of Exponential Graphs • end behavior asymptote

Key Features of Exponential Graphs • end behavior asymptote

• The vertical shift (up/down) was the same as the vertical asymptote range

• The vertical shift (up/down) was the same as the vertical asymptote range

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