How do you graph, find the intercepts and state the domain and range of #f(x)=4^x+3#?

Question

3937 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-07-14T18:43:40

The domain is #RR# . The range is #y in (3, +oo)#

The function is

#f(x)=4^x+3#

The graph is as follows

graph{4^x+3 [-19.06, 26.55, -3.99, 18.83]}

The domain is #RR# as #AA x in RR, EEy#

And,

#lim_(x->-oo)f(x)=lim_(x->-oo)4^x+3=3#

#lim_(x->+oo)f(x)=lim_(x->+oo)4^x+3=+oo#

The range is #y in (3, +oo)#