On the right are four functions, each using one of the function representations we've learned about in this lesson.f ( x ) , g ( x ) , h ( x ) and p ( t ) \displaystyle {f{{\left({x}\right)}}},\ {g{{\left({x}\right)}}},\ {h}{\left({x}\right)}\ \text{and}\ {p}{\left({t}\right)} f ( x ) , g ( x ) , h ( x ) and p ( t )
Evaluate f ( 3 ) \displaystyle {f{{\left({3}\right)}}} f ( 3 ) f ( 3 ) = \displaystyle {f{{\left({3}\right)}}}= f ( 3 ) = x \displaystyle {x} x f ( x ) = − 3 \displaystyle {f{{\left({x}\right)}}}=-{3} f ( x ) = − 3 x = \displaystyle {x}= x = g ( 10 ) \displaystyle {g{{\left({10}\right)}}} g ( 10 ) g ( 10 ) = \displaystyle {g{{\left({10}\right)}}}= g ( 10 ) = x \displaystyle {x} x g ( x ) = 14 \displaystyle {g{{\left({x}\right)}}}={14} g ( x ) = 14 x = \displaystyle {x}= x = h ( − 14 ) \displaystyle {h}{\left(-{14}\right)} h ( − 14 ) h ( − 14 ) = \displaystyle {h}{\left(-{14}\right)}= h ( − 14 ) = x \displaystyle {x} x h ( x ) = 16 \displaystyle {h}{\left({x}\right)}={16} h ( x ) = 16 x = \displaystyle {x}= x = p ( 80 ) \displaystyle {p}{\left({80}\right)} p ( 80 ) p ( 80 ) = \displaystyle {p}{\left({80}\right)}= p ( 80 ) = t \displaystyle {t} t p ( t ) = 94 \displaystyle {p}{\left({t}\right)}={94} p ( t ) = 94 t = \displaystyle {t}= t =
f ( x ) \displaystyle {f{{\left({x}\right)}}} f ( x ) 1 2 3 4 5 -1 -2 -3 -4 -5 1 2 3 4 5 -1 -2 -3 -4 -5 x y
g ( x ) \displaystyle {g{{\left({x}\right)}}} g ( x ) t \displaystyle {t} t -5 10 14 18 33 36 39 53 80 82 p ( t ) \displaystyle {p}{\left({t}\right)} p ( t ) 76 82 66 77 80 16 94 30 59 108
h ( x ) = 1 x + 27 \displaystyle {h}{\left({x}\right)}={1}{x}+{27} h ( x ) = 1 x + 27