TYPES OF FUNCTION Flashcards
IF F(X)=MX+B
M AND B ARE REAL NUMBERS
M AND F(X) ARE NOT BOTH EQUAL TO ZERO.
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LINEAR FUNCTION
FIND THE SLOPE M OF THE LINE USING THE SLOPE FORMULA.
M=Y2-Y1 / X2-X1
SUBSTITUE ONE OF THE OPDERED PAIRS AND THE SLOPE (M) TO THE POINT SLOPE FORM.
Y-Y1 = M(X-X1)
IF F(X) = MX+B
M = 0
B IS ANY REAL NUMBER
F(X) = B
CONSTANT FUNCTION
IF F(X)=MX+B M = 1 B = 0 F(X) = X /
IDENTITY FUNCTION
F(X) +AX2 + BX + C
A,B, AND C ARE REAL NUMBERS
A IS NOT EQUAL TO 0
THIS GRAPH IS ALSO CALLED PARABOLA.
QUADRATIC FUNCTION
F(X) = X, FOR X _>0 F(X) = -X, FOR X
ABSOLUTE VALUE FUNCTION
A “COMPOUND FUNCTION” WHICH IT IS DEFINED BY MULTIPLE SUB-FUNCTIONS.
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PIECEWISE FUNCTION
F(X)= N(X) / D(X)
N(X) AND D(X) ARE POLYNOMIALS
D(X) IS NOT ZERO POLYNOMIAL.
-, ‘-
RATIONAL
F(X) = BX
B>0, B IS NOT EQUAL TO 0
X IS ANY REAL NUMBER.
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EXPONENTIAL FUNCTION