Question

Determine which of the following statements are true for the given parent function.
-4
-2
2
4
-2
2
4
6
x
y



x y graph
Question content area bottom
Part 1
Select all that apply.
A.
Approaches infinity as x increases
B.
Is defined for all real numbers
C.
Has no​ x-intercept
D.
Has no curvature

Answer 1

A, B, and D.

Explanation: The graph is a straight line (a linear parent function). A linear function is defined for all real x (B), its values increase without bound as x → ∞ (A), and a straight line has no curvature (D). It does have an x‑intercept (here at x = −2), so C is false.