Math Problem Statement
Complete the missing parts of the table for the following function y = 5^x.
Solution
The given function is , and you need to complete the missing values in the table for different values of .
Table Setup:
For the equation , we calculate the values of based on the corresponding values of :
- When , (already given).
- When , (this is the missing value).
- When , (already given).
- When , (already given).
- When , (this is missing).
- When , (this is missing).
Completed Table:
x & y = 5^x \\ \hline -2 & \frac{1}{25} \\ -1 & \frac{1}{5} \\ 0 & 1 \\ 1 & 5 \\ 2 & 25 \\ 3 & 125 \\ \end{array}$$ Would you like to go over any step in more detail? --- Here are 5 related questions to expand your understanding: 1. How does the function $$y = 5^x$$ behave as $$x$$ increases or decreases? 2. What is the general form of exponential growth functions? 3. How do the values of $$y$$ change when $$x$$ is negative in an exponential function? 4. Can you plot the graph of $$y = 5^x$$ for the given values of $$x$$? 5. How would you solve for $$x$$ if you were given a specific value of $$y$$ in this function? **Tip:** Exponential functions grow very quickly when the base is greater than 1, and their graphs increase rapidly as $$x$$ becomes larger.Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Exponential Functions
Formulas
y = 5^x
Theorems
-
Suitable Grade Level
Grades 8-10