math basic algebra work sheets 9 work sheets

Math 090 Wk 10 TR GW

1. Graph the function and give its domain and range. To graph the function make a table of values.

f(x) = √ x

2. Graph the function and give its domain and range. To graph the function make a table of values.

g(x) = √ x + 1

3. Now compare your graph from problem 2 to your graph from problem 1. g(x) is a shift of the graph of f(x). Describe this shift. How did this affect the domain and range of g(x) compared to f(x)?

4. Graph the function and give its domain and range. To graph the function make a table of values (Hint: choose values for x that will give you perfect squares inside your root.)

H(x) = √ x + 2

5. Now compare your graph from problem 4 to your graph from problem 1. H(x) is a shift of the graph of f(x). Describe this shift. How did this affect the domain and range of H(x) compared to f(x)?

6. Find the domain of the following functions. Remember domain tells you what x values you can plug into a function. Also remember that to get a real number, we need a positive number or zero inside an even root. The numbers inside odd roots can be positive or negative.

f(x) = √ x + 5 g(x) =

√ 10 − 2x h(x) = 3

√ 2x + 1