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section13_material - MATH110BUSINESSCALCULUS...

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MATH 110 BUSINESS CALCULUS CHAPTER 1 FUNCTIONS AND LINEAR MODELS Section 1.3 Linear Functions A linear function is a function that can be written in the form () fx m x b =+ (Function form) where m is the slope and b is the y-intercept. Example: () 3 1 fx x = Slope: 3 m = Y-intercept: 1 b =
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Rate of Change and Delta Notation: Let y be a function of x , () y fx = , such that 11 yf x = and 22 y = . 21 2 1 ( ) Rate of change f xf x y y x x xx x x x ΔΔ == = =
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In the previous example, the rate of change (i.e. the slope) of our function () 3 1 fx x = was m = 3.
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Comparing Different Slopes If the slope is positive, the graph goes up (function increases) If the slope is negative, the graph goes down (function decreases) The large the absolute
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section13_material - MATH110BUSINESSCALCULUS...

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