Question

Use transformations to graph the following function a Also state (a) the domain, (b) the range, (c) the horizontal asymptote. f(x)=4e^x

Answer 1

domain: all real numbers
range: all positive numbers since
\[4e^x>0\] for all x
horizontal asymptote
\[y=0\] basically for the same reason as above. as x goes to minus infinity,
\[e^x\] goes to zero

Answer 2

x=0 to