The figure below shows the graph of function ff with domain

The figure below shows the graph of function ff with domain [0,2][0,2] and range [0,1][0,1]. Determine the domain and range of the following functions. Express your answering using interval notation.

1. y=f(x)+2y

Domain:

Range:

2. y=2f(x)y=2f(x)

Domain:

Range:

3. y=f(x)?1y=f(x)-1

Domain:

Range:

4. y=?f(x)y=-f(x)

Domain:

Range:

5. y=f(x+2)y=f(x+2)

Domain:

Range:

6. y=f(x?1)y=f(x-1)

Domain

Range

7. y=f(?x)y=f(-x)

Domain

Range

8. y=f(x+1)+1

domain

Range

Solution

for f(x) , domain [0,2] and range [0,1]

1. y=f(x)+2

Domain: [0,2]

Range:[2,3]

2. y=2f(x)

Domain:[0,2]

Range:[0,2]

3. y=f(x)1

Domain:[0,2]

Range:[-1,0]

4. y=f(x)

Domain:[0,2]

Range:[-1,0]

5. y=f(x+2)

Domain:[-2,0]

Range:[0,1]

6. y=f(x1)

Domain[1,3]

Range[0,1]

7. y=f(x)

Domain[-2,0]

Range[0,1]

8. y=f(x+1) +1

domain [-1,1]

Range[1,2]