Algebra 2 Unit 8 Lesson 2 Flashcards

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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.

base Signup and view all the answers

Label the graphs with the correct functions: Dotted and Solid graphs.

Dotted: A.f(x)=e'2x = Solid: B.g(x)=e'3x Dotted: A.f(x)=3e'x = Solid: B.g(x)=e'x Dotted: A.f(x)=e'x = Solid: B.g(x)=-3e'x Dotted: A.f(x)=-23'x = Solid: B.g(x)=-33'x Signup and view all the answers

Find the center of the ellipse with the equation:

(-2,5) Signup and view all the answers

Find the quotient of 3x-8+ 14/x+1.

3 Signup and view all the answers

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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.