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Evaluate the function y = 3x + 2 for x = -2, 0, and 3 X = -2: X = 0: X = 3:
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GRAPH LINEAR FUNCTIONS3.7
FUNCTION NOTATIONEquations that represent functions are often written in function notation.
f(x) is used in place of y in function notation. y = mx + b becomes f(x) = mx + b
If I want to evaluate for a number, I can plug the number in for x
f(#) means to plug the # in for x in order to evaluate.
***can use other letters. For example g(x), h(x),…
EXAMPLEEvaluate the function y = 3x + 2 for x = -2, 0, and 3
X = -2:
X = 0:
X = 3:
EXAMPLEEvaluate the function f(x) = 3x + 2 for x = -2, 0, and 3
X = -2:
X = 0:
X = 3:
EXAMPLEEvaluate when x = 4
f(x) = 3x – 2
g(x) = -2x + 7
h(x) = ½x - 5
EXAMPLEGiven y = 3x + 4, find the value of x so that y = 10
EXAMPLEGiven f(x) = -2x+10, find the value of x so that f(x) = -6
FIND THE VALUE OF X SO THE FUNCTION HAS THE GIVEN VALUE.( ) 2 5; 9f x x 2( ) 6; 14
3g x x ( ) 4 18; 8h x x
c.
PARENT FUNCTIONA family of functions is a group of functions with similar characteristics. For instance, linear functions of the form g(x) = mx + b is a family of functions. The most basic form of this equation is f(x) = x. This is called the parent function.
GRAPH AND COMPARE TO F(X)=X
2( )3
g x x
GRAPH AND COMPARE TO F(X)=X
HOMEWORKpp. 203-204: 3, 7, 11, 15-21 odd, 23, 25, 31, and 33