1. For the function below, determine whether the function is one-to-one. {(2,2),

ID: 3185899 • Letter: 1

Question

1. For the function below, determine whether the function is one-to-one.

{(2,2),(3,3),(4,6),(5,100)}

Is the function one-to-one?

a. No

b. Yes

2. State the domain and the range of the inverse function.

The domain of the inverse function is {___}.

(Use a comma to separate answers as needed.)

The range of the inverse function is {___}.

(Use a comma to separate answers as needed.)

3. Write the expression as a sum and/or difference of logarithms. Express powers as factors.

log2(4x) = ___ (Type an exact answer in simplified form.)

4. Write the following expressions as a sum and/or difference of logarithms. Express powers as factors.

In (e x) = ___ (Simplify your answer.)

1) the function {(2,2),(3,3),(4,6),(5,100)}

the function is one to one

as for each x value there is a unique y value

so, YES

2) domain of inverse function is

{ 2 , 3 , 6 , 100 }

range of inverse function is

{ 2 , 3 , 4 , 5 }

3) log 2 ( 4x )

applying property of log

log 2 4 + log 2 x

4) ln ( e^x )

x ln e

ln e = 1

= x

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