Domain is all real numbers. 1) Exponential Function y = bx where base b is a positive real number and the exponent is a variable. For b> 1 Domain is all real numbers. Range is all real numbers greater than zero. The x-intercept is none The y-intercept is (0,1) The behavior is continuous, one-to-one, and increasing. Horizontal asymptote is y = 0 (negative x-axis). Vertical asymptote is none J Reasons Sunday, December 09, 2018

For 0<b<1 Domain is all real numbers 2) Exponential Function y = bx where base b is a positive real number and the exponent is a variable. For 0<b<1 Domain is all real numbers Range is all real numbers greater than zero The x-intercept is none The y-intercept is (0,1) The behavior is continuous, one-to-one, and decreasing. Horizontal asymptote is y = 0 (positive x-axis). Vertical asymptote is none. J Reasons Sunday, December 09, 2018

1) Logarithmic Function y = logb x where b > 0 and b ≠1 Domain is all real numbers greater than zero. Range is all real numbers. The x-intercept is (1,0). The y-intercept is none Horizontal asymptote is none Vertical asymptote is x = 0 The behavior is continuous, one-to-one, and increasing for x >0 J Reasons Sunday, December 09, 2018

2) Natural logarithmic functions y = ln x Domain is all real numbers greater than zero Range is all real numbers The x-intercept is (1, 0). The y-intercept is none Horizontal asymptote is none. Vertical asymptote is x = 0 (y-axis). The behavior continuous, one-to-one, and increasing for x >0. J Reasons Sunday, December 09, 2018