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Function Notation
Contributed by: Texon
Given that f(x)=x+1, find:
a)f(3)=
b)f(-5)=
c)f(b)=
If g(x)=3x+3, find:
a) g(45)=
b) g(-8)=
c) g(d)=
Given that h(t)=t-18, find:
a) h(3)=
b) h(-5)=
c) h(b)=
Given that w(s)=5s-11, find:
a) w(6)=
b) w(-2)=
c) w(q)=
If y(z)=-6z-4, find:
a) y(5)=
b) y(-3)=
c) y(a+b)=
Given that z(x)=x2+x-1, find:
a) z(4)=
b) z(-3)=
c) z(a)=
Given that s(t)=2t2+3t+4, find:
a) s(4)=
b) s(-3)=
c) s(a+3)=
If h(x)=
Find h(4)-5h(1)-h(-2):
Answer:
<
x2     if   x>3
x-5  if   0≤x≤3
4      if   0>x
If g(t)=
Find 3g(4)-5g(1)-0.5g(-2):
Answer:
<
t2+t     if         t>2
3t+2   if   -1≤t≤2
3        if    -1>t
Given that w(b)=b3+3b2-5b, find:
             w(4)-2w(-3)+w(0)+10
answer=
Given that a(r)=(r+3)2-(4-r), find:
             a(6)-4a(-5)+a(10)+2
answer=
If p(q)=
Find 4p(4)-5p(-9)-0.75p(2)+0.8p(0):
Answer:
<
5+q     if         q>0

q-5     if         0≥q
If q(p)=
Find 3q(2)-5q(1)-4q(-2):
Answer:
<
(p2+p)2          if      t≥2

(p3÷p)2        if     2>t
If m(t)=
Find 3m(4)-4m(-3)+3m(2)-2m(3)
Answer:
<
t2          if    t>2

-t2      if    2≥t
answer=
Given that w(b)=b3, find:
        w(a+b)-w(a-b)
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