math
posted by lisa .
describe the transformation of y=8^x+2 from the graph of y=8^x then state the asymptote and domain and range.

The graph of y = 8^x , which is an exponential curve, has simply been moved up vertically 2 units to get
y = 8^x + 2
there is a horizontal asymptote of y = 2 as x > ∞
There are no other asymptotes, since the curve continues to rise faster and faster as x > +∞
There is a yintercept of (0,3), but no xintercept
domain: any value of x
range: y > 2
Respond to this Question
Similar Questions

Algebra
Totally confused! Got 5 more of these to do and need some guidence please. Let f(x) = e^x–2 + 3. (a) Describe in words how the graph of f can be obtained from the graph of y = e^x (b) What is the domain of f? 
Algebra
Totally confused and have 5 more problems like this. Can someone explain each step for these questions? 
Algebra
Let f(x) = e^x – 2 + 3 a. Describe in words how the graph of f can be obtained from the graph of y = e^x. b. What is the domain of f? 
Functions, domain,range etc
Determine the domain,range and horizontal asymptote of f(x)=(3/2)^(4x). Graph the function 
precalculus
use transformation to graph the following function  state domain, range and horizontal asymptote f(x)= e^5x. 
math
describe the transformation of y=log (x4) 1 2 from the graph of y=log X. 2 then state the asymptote and the domain range. 
math
Consider the function f(x)= 3 . x^225 a) Determine any restrictions on x. b) State the domain and range. c) State equation(s) for the asymptote(s). d) Determine any x and yintercepts. e) Sketch a graph of the function. f) … 
PreCalculus
State the Vertical Asymptote, Horizontal Asymptote, domain, range, x intercept and y intercept for the following Function. y= (5x)/(x+3) I already know that the Vertical asymptote is 3, so that means the domain is everything except … 
Math 222
This is the second part to my first question A quadratic function Graph the function g(x) = 4 − x2, and state the domain and range. Solution We plot enough points to get the correct shape of the graph. See Fig. 11.10 for the … 
Math 222
This is the second part to my first question A quadratic function Graph the function g(x) = 4 − x2, and state the domain and range. Solution We plot enough points to get the correct shape of the graph. See Fig. 11.10 for the …