17

 PAGE: 265 SET: Exercises PROBLEM: 17

The function is .

Since is cannot be negative, the minimum point of the graph is where .

(Original function)

(Subtitute in the function)

(Subtitute )

(Divide each side by )

(Cancel common terms)

Construct a table of values for  and .

Observe the table,

The and value are represents the domain and range of the function.

The domain of the function is .

The range of the function is .

Therefore, domain is all real numbers and range is all real numbers greater than or equal to .

Graph:

Graph the function .

Observe the graph:

The graph of is shifted the units to the right.

Graph of the function is

Domain is all real numbers.

Range is real numbers greater than or equal to .

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