Question
The graphs of the parent linear and square root functions are shown.
image
image
Which THREE statements are TRUE when comparing the graphs of the functions?
A.
Both functions are increasing functions.
B.
Both functions have the same end behavior.
C.
The linear function is the only function with the same
x
- and
y
-intercepts.
D.
The square root function is a graph that represents a curve and is not linear.
E.
The linear function is the only function with a domain and range of
(
−
∞
,
∞
)
.
F.
The square root function is the only function with a domain and range of
(
0
,
∞
)
.
image
image
Which THREE statements are TRUE when comparing the graphs of the functions?
A.
Both functions are increasing functions.
B.
Both functions have the same end behavior.
C.
The linear function is the only function with the same
x
- and
y
-intercepts.
D.
The square root function is a graph that represents a curve and is not linear.
E.
The linear function is the only function with a domain and range of
(
−
∞
,
∞
)
.
F.
The square root function is the only function with a domain and range of
(
0
,
∞
)
.
Answers
GPT-5 mini
A, D, and E.
- A: True — both y = x and y = √x are increasing on their domains.
- D: True — y = √x is curved and not linear.
- E: True — the linear parent y = x has domain and range (−∞, ∞); the square root does not.
(B, C, and F are false: the square root has no left-end behavior like the line (B); the square root also has its intercept at (0,0) so C is incorrect; the square root’s domain and range are [0,∞), not (0,∞), so F is false.)
- A: True — both y = x and y = √x are increasing on their domains.
- D: True — y = √x is curved and not linear.
- E: True — the linear parent y = x has domain and range (−∞, ∞); the square root does not.
(B, C, and F are false: the square root has no left-end behavior like the line (B); the square root also has its intercept at (0,0) so C is incorrect; the square root’s domain and range are [0,∞), not (0,∞), so F is false.)