1 Write the relationship using function notation Force F is

1. Write the relationship using function notation: Force F, is a function of mass m.

2. Using the table below, fill in the missing values:

a.f(0)

b.f(2)

c.f(-2)

d.f(-1)=-1

e.f(1)=1

Write a formula for the area of a circle as a function of the diameter. Calculate the percent increase in the area if the diameter is increased in the area if the diameter is increased by 50%

Solution

1. Force = mass * acceleration

F= m*a

f(m) = m * a

2. a. f(0)

when x=0,f(x)= 0

Therefore f(0)= 0

b. f(2)

when x= 2, f(x)=8

f(2)=8

c. f(-2)

when x=-2, f(x)=-8

f(-2)=-8

A= pi*r²

where r=d/2

A= pi(d/2)² = pi*d²/4

If the diameter increased by 50%, new diameter is d + (50/100)d = 1.5d

A\' = pi(1.5d/2)²= 2.25pi*d²/4= 2.25A

Increase in A= 2.25A-A=1.25A

Increase percentage=1.25A*100/A =125%