MATH 122 TEST 2 GVSU WITH COMPLETE
SOLUTIONS 100% 2023/2024
end behavior
degree lead coeff. behavior
even + up-up
even - down-down
odd + down-up
odd - up-down
cross and bounce
multiplicity- odd cross
-even- bounce
sketch graph
end behavior
cross/bounce
test method
test - 1 add all coefficients
test - -1 add, make odd degrees opposite
H. A rules
n<m-y=0
n=m- y=a/b
n>m- no h.a , have o.a
does h.a cross?
plug into function and if get answer then it crosses
rational function
domain- denom= 0
v.a.= zeros of domain
H.a = use h. a rules
oblique asymptote
use synthetic division for q(x), r(x)=r/denom
set denom= zer0
solvve
use as divisor
O.A= q(x)
cross?-set remainder =0 solve for x
where cross? plug r(x) into quotient
inequalities
factor put on x-axis- end behavior
SOLUTIONS 100% 2023/2024
end behavior
degree lead coeff. behavior
even + up-up
even - down-down
odd + down-up
odd - up-down
cross and bounce
multiplicity- odd cross
-even- bounce
sketch graph
end behavior
cross/bounce
test method
test - 1 add all coefficients
test - -1 add, make odd degrees opposite
H. A rules
n<m-y=0
n=m- y=a/b
n>m- no h.a , have o.a
does h.a cross?
plug into function and if get answer then it crosses
rational function
domain- denom= 0
v.a.= zeros of domain
H.a = use h. a rules
oblique asymptote
use synthetic division for q(x), r(x)=r/denom
set denom= zer0
solvve
use as divisor
O.A= q(x)
cross?-set remainder =0 solve for x
where cross? plug r(x) into quotient
inequalities
factor put on x-axis- end behavior
