Math Problem Statement
Solution
The question on the screen is asking for the missing value of when for the function .
To solve for :
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Substitute into the function:
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Calculate , which is simply 1.5:
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Multiply:
Thus, the missing value at is 9.
Would you like more details, or do you have any questions about this?
Here are some related questions for further practice:
- What would the value of be for this function?
- How would the function change if the base of the exponent was 2 instead of 1.5?
- Can you determine the initial value and growth rate from the function ?
- What is the general formula for exponential growth functions?
- How would you graph an exponential function like ?
Tip: For exponential functions, the base of the exponent (in this case, 1.5) determines if the function grows (if base > 1) or decays (if base < 1).
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Math Problem Analysis
Mathematical Concepts
Exponential Functions
Function Evaluation
Formulas
f(x) = a * b^x
Theorems
Properties of Exponential Functions
Suitable Grade Level
Grades 8-10
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