8.4 Exponential Functions Remix

Other exponential functions: A function such as y=2 is an exponential function. x y=3 y=(4.2) y=(½) x x x Which is NOT an exponential function: A function such as y=2 is an exponential function. x y=3x y=(4.2) y=(¾) x x Thanksgiving -style, Set a Table But Mr.! How do I graph Exponential Functions?!!! x 0 1 2 3 x Drag in x values so you can find 3 3 3 3 0 ? 1 ? 2 ? Hint: Any # raised to the zero power equals 1 x 0 1 2 3 1 ? 3 ? 9 ? x 3 3 3 0 1 2 Drag the correct values in the table x 0 1 2 3 1 3 9 x This is an exponential function graph x 0 1 2 2 1 ? 2 ? 4 ? x Is an exponential function fill in the x values to make a new power of 2. 2 x 2 -2 4 -4 2 -2 4 -4 6 -6 . . . . . x . 0 1 2 . 2 1 2 4 . x . . . . . Click a dot to plot (0,1) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 -2 4 -4 2 -2 4 -4 6 -6 . . . . . x . 0 1 2 . 2 1 2 4 . x . . . . . Click a dot to plot (1,2) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 -2 4 -4 2 -2 4 -4 6 -6 . . . . . x . 0 1 2 . 2 1 2 4 . x . . . . . Click a dot to plot (2,4) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 -2 4 -4 2 -2 4 -4 6 -6 . . . . . x . 0 1 2 . 2 1 2 4 . x . . . . Exponential graphs are curved . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . x 3 4 5 6 2 x-3 Fill in the table blanks 2 2 3 -3 4 -3 = = 2 2 0 1 = = ??? x 3 4 5 6 2 1 2 x-3 Fill in the table blanks 2 2 5 -3 6 -3 = = 2 2 2 3 = = ??? Which is the graph of the exponential function? maroon graph black graph blue graph ◠ Which is the graph of the exponential function? red graph black graph blue graph x 0 1 2 3 (½) 1 ? ½ ? ¼ ? ⅛ ? x (½) (½) (½) (½) 0 1 2 3 = = = (½) (½) (½) * * (½) (½) * (½) x 0 1 2 3 (½) 1 ½ ¼ ⅛ x (½) (½) (½) (½) 0 1 2 3 = = = (½) (½) (½) * * (½) (½) * (½) Look at the graph for y = (½) When x = -1 y = When x=0, y=1 x Look at the graph for y = (½) When x = -1 y = When x = -2 y = When x=0, y=1 x 2 DUNNNNNNNNNNNNNN DUNNNNNNNNNNNNNN DUNNNNNNNNNNNNNN DUNNNNNNNNNNNNNN DUNNNNNNNNNNNNNN DUNNNNNNNNNNNNNN |

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