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Unit 1: Concept Map (Simplifying Exponetial Express (Zero Exponent Rule:…
Unit 1: Concept Map
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analyzing functions
Zeroes: A parabola can cross the x-axis once, twice, or never. These points of intersection are called x-intercepts or zeros.
Intervals of Increasing and Decreasing Value: Intervals of increase and decrease are the domain of a function where its value is getting larger or smaller, respectively. For a function f(x) over an interval where , f(x) is increasing if and f(x) is decreasing if .
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Domain: The set of values of the independent variable for which a function or relation is defined. Typically, this is the set of x-values that give rise to real y-values.
Maximums and Minimums: Local Maximum and Minimum. Functions can have "hills and valleys": places where they reach a minimum or maximum value. It may not be the minimum or maximum for the whole function, but locally it is.
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evaluating functions
Function Notation: The way a function is written, it is supposed to be the simpliest way of describing the problem.
Using function notation is very valuable when trying to solve a problem because it helps you see the problem in the simpliest of terms.
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Piecewise Functions = a function that has multiple sub - functions, and each sub-function applys to an interval of the main funcitons domain.
Rose is going to purchase cupcakes for the class. The bakery says if she buys one cupcake it will cost her $1.50. They say if she buys 5 cupcakes it will cost her $10. If she buys 25 cupcakes it will cost her $35.
X < 1.50, 1 cupcake
1.50 < X < 10, 5 cupcakes
10 < X < 35, 25 cupcakes
