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.
Has no curvature
B.
Has no​ x-intercept
C.
Is defined for all real numbers
D.
Approaches infinity as x increases

Answer 1

I can't reliably read the graph from the text you pasted. Could you either

- type the parent function equation (for example y = x, y = x^2, y = e^x, y = 1/x, etc.), or
- upload the image of the graph,

and I'll pick which of A–D are true?

If you want to check them yourself, here is how to test each statement:

- A. "Has no curvature" — true only for a straight line (a linear function y = mx + b).
- B. "Has no x-intercept" — check whether the equation f(x) = 0 has a real solution. If it never equals zero (e.g. y = e^x or y = a^x with a>0), then B is true.
- C. "Is defined for all real numbers" — check the domain. Polynomials, exponentials and trig functions like sin/cos are defined for all real x; square root and reciprocal functions are not (sqrt restricted, 1/x undefined at 0).
- D. "Approaches infinity as x increases" — check the limit as x → +∞. Quadratics with positive leading coefficient, higher even-degree polynomials, and exponentials with base >1 satisfy this; bounded functions or reciprocals do not.

If you tell me the function or attach the graph I’ll give the exact selection.