Radical Functions: Graphing Radical Functions and Domain and Range

Think and Click icon
Think & Click: Domain and Range of Square Root and Cube Root Functions

Now, you try. Complete the Think & Click activity by looking at each problem below, thinking about it, and then clicking on the question to reveal the solution.

Find the domain and range of the function f of x equals the square root of three x minus two, plus four
 

Domain:
3x – 2 ≥ 0
3x ≥ 2
x ≥ two thirds

Range:
y ≥ 4
 

Find the domain and range of the function f of x equals the square root of two x minus five, minus two
 

Domain:
2x – 5 ≥ 0
2x ≥ 5
x ≥ five halves

Range:
y ≥ -2
 

Find the domain and range of the function f of x equals the cube root of x minus one, plus one
 

Domain:
All Real Numbers

Range:
All Real Numbers
 

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