MATCHING THE SQUARE ROOT FUNCTION AND ITS GRAPH WORKSHEET

Problem 1 :

Match the function and its graph. Describe the range.

1) y = √(x - 3)               2)  3√x

3)  y = √x - 3               4)  y = √(-x + 3)

Solution

Problem 2 :

Describe and correct the error in comparing the graph of

g(x) = −(1/4)√x

to the graph of

f(x) = √x

Solution

Problem 3 :

Describe and correct the error in graphing the function

y = √(x + 1)

Solution

Problem 4 :

The graph represents the function f (x) = √x .

a. What is the minimum value of the function?

b. Does the function have a maximum value? Explain.

c. Write a square root function that has a minimum value of −4.

Solution