Name________________________________________ Date__________________ Period_________
A12-Square Root Functions
Graph each function. Give the following attributes.
1. 𝑓(𝑥) = √𝑥 + 4
domain: ____________________
range: ______________________
x-intercept: __________________
y-intercept: __________________
2. 𝑓(𝑥) = √𝑥 − 6 + 2
domain: ____________________
range: ______________________
x-intercept: __________________
y-intercept: __________________
3. 𝑓(𝑥) = 3 + √𝑥 + 4
domain: ____________________
range: ______________________
x-intercept: __________________
y-intercept: __________________
4. 𝑓(𝑥) = √𝑥 + 4 − 2
domain: ____________________
range: ______________________
x-intercept: __________________
y-intercept: __________________
Match each function with its domain and range. Place the corresponding letter in the space provided.
5. _________
𝑓(𝑥) = √𝑥 + 5 − 4
A. 𝑑𝑜𝑚𝑎𝑖𝑛: 𝑥 ≥ −5, 𝑟𝑎𝑛𝑔𝑒: 𝑓(𝑥) ≥ 4
6. _________
𝑓(𝑥) = √𝑥 − 5 + 4
B. 𝑑𝑜𝑚𝑎𝑖𝑛: 𝑥 ≥ −5, 𝑟𝑎𝑛𝑔𝑒: 𝑓(𝑥) ≥ −4
7. _________
𝑓(𝑥) = √𝑥 + 5 + 4
C. 𝑑𝑜𝑚𝑎𝑖𝑛: 𝑥 ≥ 5, 𝑟𝑎𝑛𝑔𝑒: 𝑓(𝑥) ≥ 4
Write a square root function with the following attribute. (Answers may vary)
8 𝑣𝑒𝑟𝑡𝑒𝑥: (2, −4)
9. 𝑥 − 𝑖𝑛𝑡𝑒𝑟𝑐𝑒𝑝𝑡: 8
Determine whether each statement is always, sometimes, or never true.
10. A square root function has both x- and y-intercepts.
11. The range of a square root function includes positive and negative real numbers.
12. A square root function has two y-intercepts.
13. For any real number a, the domain of 𝑓(𝑥) = √𝑥 − 𝑎 includes positive numbers.