if f={(2,-2), (-2,0),(1,(1)/(4)),(\pi ,0)} and g={(3,0),(-1,3),((3)/4,-2)} find each of the following values of f and g

Question

a.f(2)=

b.g(3)=

c.g(3/4)=

d.f(1)=

e.g(-1)

f.f(pi)=

Answer 1

The sets given provide the values for each function. The set members have the form ( x , y ) which is the same as ( x , f(x) ) for f(x), and ( x , g(x) ) for g(x).

All you need to do is match the x values with the first value in the ordered pairs for each function: then the second value is the required function value.

The sets could have been written as vertical tables;

x f(x)

2 -2

-2 0

1 1/4

π 0

So,

f(2) = -2

f(1) = 1/4

and

f(π) = 0.

You are just reading table values. A table of values or a set of ordered pairs are just two ways of detailing a function's values.

Now, let me write the g(x) function in a vertical table format:

x g(x)

3 0

-1 3

3/4 -2

So,

g(3) = 0

g(3/4) = -2

and

g(-1) = 3

Does that make sense to you now?

Answer 2

f(2) = -2

g(3) = 0

g(3/4 =-2

g(1) = 1/4

g(-1) = 3

f(pi) = 0