1. 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

2. 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

3. 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

4. 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