IA_GPS_7

# IA_GPS_7 - = x 1 Determine whether f is a linear function...

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R0907 a.s. http://faculty.valencia.cc.fl.us/ashaw INTERMEDIATE ALGEBRA GPS # 7 2.2 LINEAR FUNCTIONS NAME: Useful Guidelines: * Linear Function: b ax x f + = ) ( [Example: 3 4 ) ( ! = x x f , 4 = a and 3 ! = b ] Its graph is a straight line. For each unit increase in x , ) ( x f changes by an amount equal to a . * Rate of Change for a Linear Function: The output of a linear function changes by a constant amount for each unit increase in the input. * When data have a constant rate of change, they can be modeled by b ax x f + = ) ( . The constant a represents the rate of change, and the constant b represents the initial amount or the value when
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Unformatted text preview: = x . 1. Determine whether f is a linear function. If f is linear, give values for a and b so that f may be expressed as b ax x f + = ) ( . a) 2 3 ) ( ! ! = x x f b) 2 ) ( 2 ! = x x f c) 50 ) ( = x f d) 4 ) ( + = x x f 2. Use the table to determine whether ) ( x f could represent a linear function. If it could, write the formula for f in the form b ax x f + = ) ( . a) x 0 1 2 3 ) ( x f 5 7 9 11 b) x-2 -1 0 1 ) ( x f-20 -11 -2 7 3. Evaluate ) ( x f at = x and 3 ! = x for the following: a) 3 3 ) ( + ! = x x f b) 3 3 1 ) ( + ! = x x f...
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