For Exercises 67-76, refer to the functions y = f ( x ) and y = g ( x ) , defined as follows: f = { ( − 3 , 5 ) , ( − 7 , − 3 ) , ( − 3 2 ⋅ 4 ) ( 1.2 , 5 ) } g = { ( 0 , 6 ) , ( 2 , 6 ) , ( 6 , 0 ) , ( 1 , 0 ) } Identify the range of f .
For Exercises 67-76, refer to the functions y = f ( x ) and y = g ( x ) , defined as follows: f = { ( − 3 , 5 ) , ( − 7 , − 3 ) , ( − 3 2 ⋅ 4 ) ( 1.2 , 5 ) } g = { ( 0 , 6 ) , ( 2 , 6 ) , ( 6 , 0 ) , ( 1 , 0 ) } Identify the range of f .
Solution Summary: The author explains that the range of function f defines the y coordinate of any ordered pair of the given relation.
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ANALYZING RELATIONSHIPS Describe the x-values for which (a) f is increasing or decreasing, (b) f(x) > 0 and (c) f(x) <0.
y Af
-2
1
2 4x
a. The function is increasing when
and
decreasing when
By forming the augmented matrix corresponding to this system of equations and usingGaussian elimination, find the values of t and u that imply the system:(i) is inconsistent.(ii) has infinitely many solutions.(iii) has a unique solutiona=2 b=1
if a=2 and b=1
1) Calculate 49(B-1)2+7B−1AT+7ATB−1+(AT)2
2)Find a matrix C such that (B − 2C)-1=A
3) Find a non-diagonal matrix E ̸= B such that det(AB) = det(AE)
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