Math Problem Statement
draw the graph of f(x)=3^x+2
Solution
Here is the graph of the function . The curve shows an exponential growth, shifted upward by 2 units due to the "+2" term.
Would you like more details or have any questions about the graph or the function?
Here are 5 related questions to deepen your understanding:
- How would the graph change if the function was ?
- What is the behavior of as and ?
- Can you find the y-intercept of the function ?
- What happens to the graph if you change the base from 3 to another number, like 2 or 5?
- How would you solve the equation for ?
Tip: For exponential functions, the base of the exponent determines the growth rate. The higher the base, the faster the function grows.
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Math Problem Analysis
Mathematical Concepts
Exponential Functions
Transformations
Formulas
f(x) = a^x + k (Exponential function with vertical shift)
Theorems
Exponential Growth Theorem
Suitable Grade Level
Grades 9-11
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