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/Integer exponents/ Definitions: Base/exponent (power)

Rational exponents/exponential laws

*For any exponential expression, the base cannot be 0

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2. Simplifying numerical and algebraic expressions involving exponents

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2. Simplifying numerical and algebraic expressions involving exponents

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1. Using the exponent rules to simplify the algebraic expressions

2. Simplify the expression after sub.

3. Change the expression into exponential form before applying exponent rules (with radicals)

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1. b is not equal to 0, 1

2. The absolute value of b is greater than 1, incr.

3. The absolute value of b is lower than 1, decr.

4. The greater the value of b, the faster the growth/the slower the decay

5. The lesser the value of b, the faster the decay/slower the growth

6. The x axis as the hor. asymptote

7. Have the y-intercept of y=1

8. Domain: xeR

9. Range: y is greater than 0, yeR

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Assume the general equation is f(x)=b^x (b>0)

Arrange the values of b corresponding to images f, g, h, p from small to large.

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4. Transformations of exponential functions

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4. Transformations of exponential functions

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Order:

1. hor. stretch or compression

2. ver. stretch or compression

3. reflection in the y-axis

4. reflection in the x-axis

5. hor. translation

6. ver. translation

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5. Applications of exponential functions

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5. Applications of exponential functions

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Definitions:

1. f(x): final amount,

2. a: initial amount,

3. b: exponential growth or decay: incr: b=1+growth rate decr: b=1-growth rate

4. x: number of growth or decay periods

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Presented by Hollis Zhang

MCR3U Unit 3 Assignment Ms. Yumna