Question
Graph the function
. Give the domain and range.
Use the graphing tool to graph the function.
The domain of the function
is
.
(Type your answer in interval notation.)
The range of the function
is
(Type your answer in interval notation.)
Use the graphing tool to graph the function.
The domain of the function
(Type your answer in interval notation.)
The range of the function
(Type your answer in interval notation.)
Ask by Love Hodgson. in the United States
Nov 05,2024
Upstudy AI Solution
Tutor-Verified Answer
Answer
- Domain:
- Range:
Solution

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Bonus Knowledge
To graph the function
, start by noting the basic shape of an exponential function, which typically increases from left to right. The term
shifts the base function
to the right by 2 units. Adding 4 shifts the entire graph upward by 4 units.
The domain of the function is indeed
, as you can input any real number for
. For the range, since
approaches 0 as
goes to negative infinity and increases without bound as
goes to positive infinity, the range starts from 4 (the lowest value of the function) and goes to infinity. Thus, the range is
.
So, in conclusion:
- Domain:
- Range: