Chapter 1.2, Problem 57E

(a)

To determine

Sketch the graph of function $y=f\left(x\right)+2$.

Find the domain and range of the function $y=f\left(x\right)+2$.

(b)

To determine

Sketch the graph of function $y=f\left(x\right)-1$.

Find the domain and range of the function $y=f\left(x\right)-1$.

(c)

To determine

Sketch the graph of function $y=2f\left(x\right)$.

Find the domain and range of the function $y=2f\left(x\right)$.

(d)

To determine

Sketch the graph of function $y=-f\left(x\right)$.

Find the domain and range of the function $y=-f\left(x\right)$.

(e)

To determine

Sketch the graph of function $y=f\left(x+2\right)$.

Find the domain and range of the function $y=f\left(x+2\right)$.

(f)

To determine

Sketch the graph of function $y=f\left(x-1\right)$.

Find the domain and range of the function $y=f\left(x-1\right)$.

(g)

To determine

Sketch the graph of function $y=f\left(-x\right)$.

Find the domain and range of the function $y=f\left(-x\right)$.

(h)

To determine

Sketch the graph of function $y=-f\left(x+1\right)+1$.

Find the domain and range of the function $y=-f\left(x+1\right)+1$.