Questions and Answers
What is the mathematical constant e approximately equal to?
2.71828
The number e is approximately equal to ___.
2.71828
For an exponential function f(x)=ab'cx changing the value for a will change the ____ to the value of a.
y-intercept
For an exponential function f(x)=ab'cx changing the value for c will change the ____ b to b'c.
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Label the graphs with the correct functions: Dotted and Solid graphs.
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Find the center of the ellipse with the equation:
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Find the quotient of 3x-8+ 14/x+1.
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Study Notes
Mathematical Constant e
- e is a mathematical constant, approximately equal to 2.71828.
Exponential Function Characteristics
- In the function f(x) = ab^cx, the variable a affects the y-intercept.
- In the same function, changing c modifies the base from b to b^c.
Graph Functions
- Functions can be represented graphically; label accordingly:
- For f(x) = e^(2x) and g(x) = e^(3x), specific graphs must be assigned based on their growth rates.
- Similarly, for f(x) = 3e^x and g(x) = e^x, appropriate graph labels should reflect the exponential growth differences.
- For f(x) = e^x and g(x) = -3e^x, consider the impact of negative values on the graph appearance.
Ellipse Equation
- The center of the ellipse represented by its equation is located at (-2, 5).
Polynomial Quotient
- The quotient resulting from the expression 3x - 8 + 14/(x + 1) requires simplification and understanding of polynomial division principles.
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Description
Test your knowledge on key concepts from Algebra 2 Unit 8 Lesson 2 with these flashcards. Each card covers important definitions and concepts like the mathematical constant 'e' and aspects of exponential functions. Perfect for reviewing essential algebra topics before exams.
