Math Problem Statement
Give me points to plot for 3^x-2
Solution
To plot the function , you can choose some values for and compute the corresponding values for . Here are a few points to get you started:
-2 | |
-1 | |
0 | |
1 | |
2 | |
3 | |
4 |
These points should give you a good curve to plot.
Would you like more points or an explanation on how to plot this function?
Here are a few related questions you might find interesting:
- What are the general properties of exponential functions like ?
- How does shifting the graph of affect its shape?
- What is the behavior of as approaches positive or negative infinity?
- How do you find the horizontal asymptote of an exponential function?
- Can you compare the graph of with ?
Tip: To quickly plot exponential functions, pick several integer values of and compute the corresponding -values. For smoother curves, you can also use fractional -values.
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Math Problem Analysis
Mathematical Concepts
Exponential Functions
Graphing Exponential Functions
Formulas
y = 3^x - 2
Theorems
Exponential growth
Horizontal asymptote of exponential functions
Suitable Grade Level
Grades 9-12
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