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 y-intercept of (0,3), but no x-intercept
domain: any value of x
range: y > 2