Evaluate Exponential Functions Worksheet

Algebra 2
Exponential Functions

Total questions - 6

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How Will This Worksheet on "Evaluate Exponential Functions" Benefit Your Student's Learning?

  • Working through exponential functions helps students solve problems more effectively by practicing step-by-step calculations.
  • Evaluating these functions improves students' ability to think carefully and logically.
  • Regularly practicing with exponential functions makes students better at using exponents and doing math calculations.
  • The precise calculations required for these functions teach students accuracy and attention to detail.
  • Exponential functions are useful in real life, like understanding population growth, radioactive decay, and interest rates.

How to Evaluate Exponential Functions?

  • Recognize the function in the form \( f(x) = a \cdot b^x \), where \( a \) is a constant, \( b \) is the base, and \( x \) is the exponent.
  • Replace the variable \( x \) with the specified value provided in the problem. For example, if you need to evaluate \( f(3) \), substitute `3` for \( x \).
  • Calculate the value of the base \( b \) raised to the power of the substituted value.
  • Multiply the result from the exponentiation by the coefficient \( a \). 

Solved Example

Q. Use the following function rule to find f(1) f(1) .\newlinef(x)=12(7)x+8 f(x) = 12(7)^x + 8
Solution:
  1. Plug in xx in function: Plug in 11 for xx in the function f(x)=12(7)x+8f(x) = 12(7)^x + 8.\newlinef(1)=12(7)1+8f(1) = 12(7)^1 + 8
  2. Calculate 1212 times 77: Calculate 1212 times 77.\newline12×7=8412 \times 7 = 84
  3. Add 8484 to 88: Add 8484 to 88. \newline84+8=9284 + 8 = 92
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About Worksheet

Algebra 2
Exponential Functions

To evaluate exponential functions, substitute the given value of the variable into the function and calculate the result. For instance, in \( f(x) = a \cdot b^x \), replace \( x \) with the specific number and compute \( b^x \) before multiplying by \( a \). An evaluate exponential functions worksheet provides practice problems, while an evaluate exponential functions pdf offers a downloadable resource for offline study and reference.

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