SOLUTION: f(x)={(1,4),(2,2),(8,3),(3,3),(-7,1),(8,-1)} I need to answer these questions about the relation above. a) Determine the value of f(3) b) Solve f(x) = 2 c) Determine f^-1(4)

Question 1128079: f(x)={(1,4),(2,2),(8,3),(3,3),(-7,1),(8,-1)}
I need to answer these questions about the relation above.
a) Determine the value of f(3)
b) Solve f(x) = 2
c) Determine f^-1(4)
d) Determine if f^-1 is a function.
e) What is the domain and range?
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

f(x)={(1,4),(2,2),(8,3),(3,3),(-7,1),(8,-1)}
The relation is not a function.
Since produces and, the relation is a function.

a) Determine the value of
from given points you see that
b) Solve
from given points you see that ->
c) Determine
The inverse of a function differs from the function in that all the x-coordinates and y-coordinates have been switched. That is, if (,) is a point on the graph of the function, then (,) is a point on the graph of the inverse function.
so, since we have no point where there is no inverse
d) Determine if is a function.
if f(x)={(1,4),(2,2),(8,3),(3,3),(-7,1),(8,-1)}, inverse will be
f^-1 (x)={(4,1),(2,2),(3,8),(3,3),(1,-7),(-1,8)}
since produces and , the relation is a function
e) What is the domain and range?
the domain and range of given relation:
domain={-7,-1,1,2,3,8}
range={-1,1,2,3,4}
the domain and range of inverse:
domain={-1,1,2,3,4}
range={-7,-1,1,2,3,8}

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