Exponential Functions y x Exponential Growth Exponential Decay

Exponential Functions y x Exponential Growth Exponential Decay

Graph by creating a table of values x y y -4 0. 0625 -2 0. 25 0 1 1 2 2 4 3 8 x

Graph x y -2 4 -1 2 0. 25 4 0. 0625 6 0. 0156 by creating a table of values. y x

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

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

Graph x by creating a table of values. y y -2 -0. 25 -1 -0. 5 0 -1 1 2 -2 -4 3 -8 x

Graph x y -3 -8 -2 -4 -1 -2 0 -1 1 -0. 5 2 -0. 25 by creating a table of values. y x

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

Graph the Curve y x

Graph the Curve y x