Answer:
A GENERAL NOTE: CHARACTERISTICS OF THE GRAPH OF THE PARENT FUNCTION [tex]f(x)=b^{x}[/tex]
-It’s a one-to-one function
-The graph passes through y-intercept of the point (0,1)
-x-intercept: none
-The domain is all real numbers: (−∞,∞)
-The range is y > 0 or (0,∞)
-The graph is increasing
-The graph is asymptotic to the x-axis as x approaches negative infinity
-Horizontal asymptote: y=0
-The graph increases without bound as x approaches positive infinity
-Increasing if b > 1
-Decreasing if b < 1
-The graph is continuous
-The graph is smooth
Hope this helps! :)
