COLLEGE ALGEBRA FORMULAS
(MATH 110 EXAM)
PythagoreanbEquationb-bcorrectbanswer-a2+b2=c2
DistancebFormulab-bcorrectbanswer-db=b√[(bx₂b-bx₁)²b+b(y₂b-by₁)²]
MidpointbFormulab-bcorrectbanswer-((x₁+x₂)/2,b(y₁+y₂)/2)
EquationbOfbAbCircleb-bcorrectbanswer-(x-h)²+(y-k)²=r²
Functionb-bcorrectbanswer-
Abcorrespondencebbetweenbabfirstbset,bcalledbthebdomain,bandbabsecondbset,bcalled
bthebrange,bsuchbthatbeachbmemberbofbthebdomainbcorrespondsbtobexactlybonebme
mberbofbthebrange.
Relationb-bcorrectbanswer-
Abcorrespondencebbetweenbabfirstbset,bcalledbthebdomain,bandbabsecondbset,bcalled
bthebrange,bsuchbthatbeachbmemberbofbthebdomainbcorrespondsbtobatbleastbonebme
mberbofbthebrange.
ThebVerticalbLinebTestb-bcorrectbanswer-
Ifbitbisbpossiblebforbabverticalblinebtobcrossbabgraphbmorebthanbonce,bthenbthebgraphb
ISbNOTbthebgraphbofbabfunction.
Domainb-bcorrectbanswer-
thebsetbofbabfunctionsbinputs,bfoundbonbthebhorizontalbaxisb(x-axis).
Rangeb-bcorrectbanswer-
thebsetbofbabfunctionsboutputs,bfoundbonbthebverticalbaxisb(y-axis).
(MATH 110 EXAM)
PythagoreanbEquationb-bcorrectbanswer-a2+b2=c2
DistancebFormulab-bcorrectbanswer-db=b√[(bx₂b-bx₁)²b+b(y₂b-by₁)²]
MidpointbFormulab-bcorrectbanswer-((x₁+x₂)/2,b(y₁+y₂)/2)
EquationbOfbAbCircleb-bcorrectbanswer-(x-h)²+(y-k)²=r²
Functionb-bcorrectbanswer-
Abcorrespondencebbetweenbabfirstbset,bcalledbthebdomain,bandbabsecondbset,bcalled
bthebrange,bsuchbthatbeachbmemberbofbthebdomainbcorrespondsbtobexactlybonebme
mberbofbthebrange.
Relationb-bcorrectbanswer-
Abcorrespondencebbetweenbabfirstbset,bcalledbthebdomain,bandbabsecondbset,bcalled
bthebrange,bsuchbthatbeachbmemberbofbthebdomainbcorrespondsbtobatbleastbonebme
mberbofbthebrange.
ThebVerticalbLinebTestb-bcorrectbanswer-
Ifbitbisbpossiblebforbabverticalblinebtobcrossbabgraphbmorebthanbonce,bthenbthebgraphb
ISbNOTbthebgraphbofbabfunction.
Domainb-bcorrectbanswer-
thebsetbofbabfunctionsbinputs,bfoundbonbthebhorizontalbaxisb(x-axis).
Rangeb-bcorrectbanswer-
thebsetbofbabfunctionsboutputs,bfoundbonbthebverticalbaxisb(y-axis).
