What is the end behavior of the function h? H(x)=-4x+4
1 answer:
Answer:
Below
Step-by-step explanation:
The end behavior of a function is how it grows when it reaches both plus and - infinity.
To do that we will calculate:
● lim h(x) x=> +infinity = lim-4x+4 x=> +inf = lim -4x x=> +inf
-4 is negative so the limit will be -infinity
● lim (-4x+4) x=> -inf = lim (-4x) x=> -inf
-4 is negative, x is negative then -4x is positive. So the limit will be + inf
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Answer:
see explanation
Step-by-step explanation:
Given
x +
y +
z = π
let
x = A ,
y = B ,
z = C , so
x = tanA, y = tanB , z = tanC
Substituting values
A + B + C = π ( subtract C from both sides )
A + B = π - C ( take tan of both sides )
tan(A + B) = tan(π - C) = - tanC ( expand left side using addition identity for tan )
= - tanC ( multiply both sides by 1 - tanAtanB )
tanA + tanB = - tanC( 1 - tanAtanB) ← distribute
tanA+ tanB = - tanC + tanAtanBtanC ( add tanC to both sides )
tanA + tanB + tanC = tanAtanBtanC , that is
x + y + z = xyz