How do you graph #y=3*11^x#? What is the #y#-intercept and the domain and range?

1 Answer
MathFact-orials.blogspot.com
Jul 4, 2018

#y-# intercept is 3. Domain is #x in RR#, Range is #y>=0#

Explanation:

The #y-# intercept is the #y# value when #x=0#:

#y=3xx11^0=3xx1=3#

The domain is the list of allowable #x# values. Notice that for any #x# value we put in, we'll get a value out (the range). Therefore, the domain is #x in RR#, or #x# can be any real number.

The range is the list of values we get from the domain. Notice that no matter what value of #x# we drop in, the resulting #y# will never be negative. Therefore, we can say that the range is #y>=0#

We can look at the graph:

graph{(3)11^x}

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