Exponential Functions y x Exponential Growth Exponential Decay

Graph by creating a table of values x y -4 -2 1 2 3 y x 0.0625 0.25 1 2 4 8

Graph by creating a table of values. x y -2 -1 2 4 6 y x 4 2 1 0.25 0.0625 0.0156

Exponential Function b represents the “beginning value” b is also the y-intercept g represents the growth rate As g increases, the exponential curve gets steeper. As g decreases, the exponential curve flattens

Exponential Growth For the exponential function to be exponential growth, “g > 1”. There is a horizontal asymptote at y = k. Domain: x can be all real numbers. Range: If the curve goes upward, then the range is y > k. If the curve goes downward, then the range is y < k.

Exponential Decay For the exponential function to be exponential decay, “g < 1”. There is a horizontal asymptote at y = k. Domain: is all real numbers. Range: If b > 0, then the range is y > k. If b < 0, then the range is y < k.

Graph by creating a table of values. x y -2 -1 1 2 3 y x -0.25 -0.5 -1 -2 -4 -8

Graph by creating a table of values. x y -3 -2 -1 1 2 y x -8 -4 -2 -1 -0.5 -0.25

General Graph of Exponential Growth y x h shifts the curve Right/Left k shifts the curve Up/Down

Graph the Curve y x

Graph the Curve y x